Finding the Fourth Proportional to 766,215,402.36, 1,057,377,214.76 and 413,791,359.12
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Solution
The fourth proportional to 766,215,402.36, 1,057,377,214.76 and 413,791,359.12 is: 571,032,053.72
Step by Step Solution
- Step 1: Write the proportion equation
766,215,402.36 : 1,057,377,214.76 = 413,791,359.12 : x - Step 2: Convert to fraction form
766,215,402.36/1,057,377,214.76 = 413,791,359.12/x - Step 3: Cross multiply
766,215,402.36x = 1,057,377,214.76 × 413,791,359.12 - Step 4: Simplify right side
766,215,402.36x = 437,533,554,798,060,544 - Step 5: Solve for x
x = 437,533,554,798,060,544/766,215,402.36 - Step 6: Final answer
x = 571,032,053.72
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1.5x scale
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.