1. The sum of the amounts paid will total Y * $x., or 100% of the available prize pool.

2. The last paid position will receive 1.5 x.

3. Each higher finishing player will receive a “uniformly” increasingly greater amount of prize money. That is, the percentage increase the next to last finisher receives over the last place finisher should be the same as the percentage increase the winner receives over the player who finishes second. Obviously the dollar amounts will increase as you move upward among the finishers toward reaching the winner of the tournament.

Is there a formula I can use to generate the series or the percentage for each of the Z players?