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Finding the Fourth Proportional to 394,176.38, 591,193.02 and 138,046.56

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Solution

The fourth proportional to 394,176.38, 591,193.02 and 138,046.56 is: 207,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,176.38 : 591,193.02 = 138,046.56 : x
  2. Step 2: Convert to fraction form
    394,176.38/591,193.02 = 138,046.56/x
  3. Step 3: Cross multiply
    394,176.38x = 591,193.02 × 138,046.56
  4. Step 4: Simplify right side
    394,176.38x = 81,612,162,707.01
  5. Step 5: Solve for x
    x = 81,612,162,707.01/394,176.38
  6. Step 6: Final answer
    x = 207,044.78

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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.