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Finding the Fourth Proportional to 391,863.59, 588,057.51 and 142,545.59

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Solution

The fourth proportional to 391,863.59, 588,057.51 and 142,545.59 is: 213,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,863.59 : 588,057.51 = 142,545.59 : x
  2. Step 2: Convert to fraction form
    391,863.59/588,057.51 = 142,545.59/x
  3. Step 3: Cross multiply
    391,863.59x = 588,057.51 × 142,545.59
  4. Step 4: Simplify right side
    391,863.59x = 83,825,001,776.59
  5. Step 5: Solve for x
    x = 83,825,001,776.59/391,863.59
  6. Step 6: Final answer
    x = 213,913.73

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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.