Finding the Fourth Proportional to 257,156,128.71, 354,904,897.14 and 144,156,140.70
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Solution
The fourth proportional to 257,156,128.71, 354,904,897.14 and 144,156,140.70 is: 198,951,977.32
Step by Step Solution
- Step 1: Write the proportion equation
257,156,128.71 : 354,904,897.14 = 144,156,140.70 : x - Step 2: Convert to fraction form
257,156,128.71/354,904,897.14 = 144,156,140.70/x - Step 3: Cross multiply
257,156,128.71x = 354,904,897.14 × 144,156,140.70 - Step 4: Simplify right side
257,156,128.71x = 51,161,720,287,232,864 - Step 5: Solve for x
x = 51,161,720,287,232,864/257,156,128.71 - Step 6: Final answer
x = 198,951,977.32
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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.