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Finding the Fourth Proportional to 393,148.12, 588,951.48 and 203,732.73

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Solution

The fourth proportional to 393,148.12, 588,951.48 and 203,732.73 is: 305,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,148.12 : 588,951.48 = 203,732.73 : x
  2. Step 2: Convert to fraction form
    393,148.12/588,951.48 = 203,732.73/x
  3. Step 3: Cross multiply
    393,148.12x = 588,951.48 × 203,732.73
  4. Step 4: Simplify right side
    393,148.12x = 119,988,691,839.28
  5. Step 5: Solve for x
    x = 119,988,691,839.28/393,148.12
  6. Step 6: Final answer
    x = 305,199.71

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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.