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Finding the Fourth Proportional to 394,517.70, 592,068.15 and 261,353.70

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Solution

The fourth proportional to 394,517.70, 592,068.15 and 261,353.70 is: 392,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,517.70 : 592,068.15 = 261,353.70 : x
  2. Step 2: Convert to fraction form
    394,517.70/592,068.15 = 261,353.70/x
  3. Step 3: Cross multiply
    394,517.70x = 592,068.15 × 261,353.70
  4. Step 4: Simplify right side
    394,517.70x = 154,739,201,654.66
  5. Step 5: Solve for x
    x = 154,739,201,654.66/394,517.70
  6. Step 6: Final answer
    x = 392,223.72

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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.