Erchin (Arachin) 4:2

The scenario in mishna 4:1 is not the case when it comes to sacrifices. If a person obligates himself in the offering of a certain metzora who was a needy person, he brings the offering of a needy person; if the metzora was a wealthy person, he brings the offering of a wealthy person. Rebbi says that this is also the case when it comes to valuations. The reason a needy person who dedicated the valuation of a wealthy person pays the valuation of a needy person is because the wealthy person didn’t incur any obligation at all. However, if a wealthy person obligates himself to pay his own valuation and a needy person hears and obligates himself to give what the wealthy person committed, then he pays the valuation of a wealthy person. If one was needy and then became wealthy, or vice versa, he pays the valuation of a wealthy person. Rabbi Yehuda says that he pays the valuation of a wealthy person even if he was needy, became wealthy, and then became needy again.

Erchin (Arachin) 4:3

The latter does not apply to sacrifices. Even if one’s father died and left him 10,000 zuz, or if he had a ship en route bringing him tens of thousands in merchandise, (he is not considered wealthy so) the Temple doesn't receive anything.