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Finding the Fourth Proportional to 412,839.70, 619,259.55 and 132,385.30

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Solution

The fourth proportional to 412,839.70, 619,259.55 and 132,385.30 is: 198,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839.70 : 619,259.55 = 132,385.30 : x
  2. Step 2: Convert to fraction form
    412,839.70/619,259.55 = 132,385.30/x
  3. Step 3: Cross multiply
    412,839.70x = 619,259.55 × 132,385.30
  4. Step 4: Simplify right side
    412,839.70x = 81,980,861,304.62
  5. Step 5: Solve for x
    x = 81,980,861,304.62/412,839.70
  6. Step 6: Final answer
    x = 198,577.95

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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.