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Finding the Fourth Proportional to 497,841,247.85, 746,761,871.78 and 429,760,812.65

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Solution

The fourth proportional to 497,841,247.85, 746,761,871.78 and 429,760,812.65 is: 644,641,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,841,247.85 : 746,761,871.78 = 429,760,812.65 : x
  2. Step 2: Convert to fraction form
    497,841,247.85/746,761,871.78 = 429,760,812.65/x
  3. Step 3: Cross multiply
    497,841,247.85x = 746,761,871.78 × 429,760,812.65
  4. Step 4: Simplify right side
    497,841,247.85x = 320,928,988,870,059,072
  5. Step 5: Solve for x
    x = 320,928,988,870,059,072/497,841,247.85
  6. Step 6: Final answer
    x = 644,641,218.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.