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Finding the Fourth Proportional to 394,167.76, 543,951.50 and 215,319.76

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Solution

The fourth proportional to 394,167.76, 543,951.50 and 215,319.76 is: 297,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,167.76 : 543,951.50 = 215,319.76 : x
  2. Step 2: Convert to fraction form
    394,167.76/543,951.50 = 215,319.76/x
  3. Step 3: Cross multiply
    394,167.76x = 543,951.50 × 215,319.76
  4. Step 4: Simplify right side
    394,167.76x = 117,123,506,431.64
  5. Step 5: Solve for x
    x = 117,123,506,431.64/394,167.76
  6. Step 6: Final answer
    x = 297,141.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.