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Finding the Fourth Proportional to 391,378.86, 587,141.19 and 125,206.38

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Solution

The fourth proportional to 391,378.86, 587,141.19 and 125,206.38 is: 187,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,378.86 : 587,141.19 = 125,206.38 : x
  2. Step 2: Convert to fraction form
    391,378.86/587,141.19 = 125,206.38/x
  3. Step 3: Cross multiply
    391,378.86x = 587,141.19 × 125,206.38
  4. Step 4: Simplify right side
    391,378.86x = 73,513,822,948.79
  5. Step 5: Solve for x
    x = 73,513,822,948.79/391,378.86
  6. Step 6: Final answer
    x = 187,832.89

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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.