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Finding the Fourth Proportional to 391,665.60, 588,751.20 and 363,931.20

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Solution

The fourth proportional to 391,665.60, 588,751.20 and 363,931.20 is: 547,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,665.60 : 588,751.20 = 363,931.20 : x
  2. Step 2: Convert to fraction form
    391,665.60/588,751.20 = 363,931.20/x
  3. Step 3: Cross multiply
    391,665.60x = 588,751.20 × 363,931.20
  4. Step 4: Simplify right side
    391,665.60x = 214,264,930,717.44
  5. Step 5: Solve for x
    x = 214,264,930,717.44/391,665.60
  6. Step 6: Final answer
    x = 547,060.89

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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.