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Finding the Fourth Proportional to 391,166.20, 587,138.10 and 191,711.80

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Solution

The fourth proportional to 391,166.20, 587,138.10 and 191,711.80 is: 287,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,166.20 : 587,138.10 = 191,711.80 : x
  2. Step 2: Convert to fraction form
    391,166.20/587,138.10 = 191,711.80/x
  3. Step 3: Cross multiply
    391,166.20x = 587,138.10 × 191,711.80
  4. Step 4: Simplify right side
    391,166.20x = 112,561,301,999.58
  5. Step 5: Solve for x
    x = 112,561,301,999.58/391,166.20
  6. Step 6: Final answer
    x = 287,758.25

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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.