Finding the Fourth Proportional to 1,454,933,474.19, 2,007,808,999.83 and 785,878,515.63
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Solution
The fourth proportional to 1,454,933,474.19, 2,007,808,999.83 and 785,878,515.63 is: 1,084,512,786.63
Step by Step Solution
- Step 1: Write the proportion equation
1,454,933,474.19 : 2,007,808,999.83 = 785,878,515.63 : x - Step 2: Convert to fraction form
1,454,933,474.19/2,007,808,999.83 = 785,878,515.63/x - Step 3: Cross multiply
1,454,933,474.19x = 2,007,808,999.83 × 785,878,515.63 - Step 4: Simplify right side
1,454,933,474.19x = 1,577,893,956,454,955,264 - Step 5: Solve for x
x = 1,577,893,956,454,955,264/1,454,933,474.19 - Step 6: Final answer
x = 1,084,512,786.63
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.