The batter is never awarded a ball when a balk is enforced. But the actual answer is "...it depends..." Under Federation (high school) rules the answer is absolutely no. Under FED rules, the ball is immediately dead when the balk occurs. So it does not matter what happens following the balk. In your case, the runner on third is awarded home due to the balk and the batter remains at bat with a count of 3 - 2. Under OBR (Major League Baseball rules), the ball is termed "delayed dead." If the balk is followed by a pitch and the batter runner and all base runners advance one base as a result of the playing action, the balk is ignored. If the balk is followed by a throw and all runners advance one base, the balk is ignored. Note their is a difference between a pitch or a throw. In your case under professional rules, if the pitcher balks and delivers a pitch you wait and see what happens. If the batter gets a base hit and he and the runner both advance, you ignore the balk. If the pitch is a ball and the batter would have been awarded first base on ball 4 but the runner on third did not advance, you enforce the balk, the runner on third scores, and the batter remains at bat with a 3 - 2 count. Under pro rules, once the batter and runners advance one base, they are on their own and continue to attempt to advance at their own risk. Let's take your play and give an example: Runner on third (R3). Pitcher in the set blows through the stop and a balk is called. The pitcher continues his motion and delivers a pitch to the batter. The batter-runner (BR) hits a base hit to the outfield. R3 scores but the BR attempts to stretch his hit into a double. The BR is thrown out at second base. In this case R3 and the BR both advanced one base. The balk is ignored. R3 scores and the out on the BR at second base stands. The BR did advance his required one base and any advance beyond that point is at his own risk. The offensive team never has a choice to take the results of the play or the balk. By rule, the balk is either enforced or ignored.