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Finding the Fourth Proportional to 399,652.86, 599,470.78 and 129,780.70

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Solution

The fourth proportional to 399,652.86, 599,470.78 and 129,780.70 is: 194,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,652.86 : 599,470.78 = 129,780.70 : x
  2. Step 2: Convert to fraction form
    399,652.86/599,470.78 = 129,780.70/x
  3. Step 3: Cross multiply
    399,652.86x = 599,470.78 × 129,780.70
  4. Step 4: Simplify right side
    399,652.86x = 77,799,737,457.95
  5. Step 5: Solve for x
    x = 77,799,737,457.95/399,652.86
  6. Step 6: Final answer
    x = 194,668.29

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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.