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Finding the Fourth Proportional to 391,902.39, 588,115.22 and 142,584.39

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Solution

The fourth proportional to 391,902.39, 588,115.22 and 142,584.39 is: 213,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,902.39 : 588,115.22 = 142,584.39 : x
  2. Step 2: Convert to fraction form
    391,902.39/588,115.22 = 142,584.39/x
  3. Step 3: Cross multiply
    391,902.39x = 588,115.22 × 142,584.39
  4. Step 4: Simplify right side
    391,902.39x = 83,856,049,180.49
  5. Step 5: Solve for x
    x = 83,856,049,180.49/391,902.39
  6. Step 6: Final answer
    x = 213,971.77

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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.