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Finding the Fourth Proportional to 278,234.29, 383,963.22 and 157,372.97

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Solution

The fourth proportional to 278,234.29, 383,963.22 and 157,372.97 is: 217,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,234.29 : 383,963.22 = 157,372.97 : x
  2. Step 2: Convert to fraction form
    278,234.29/383,963.22 = 157,372.97/x
  3. Step 3: Cross multiply
    278,234.29x = 383,963.22 × 157,372.97
  4. Step 4: Simplify right side
    278,234.29x = 60,425,432,302.16
  5. Step 5: Solve for x
    x = 60,425,432,302.16/278,234.29
  6. Step 6: Final answer
    x = 217,174.65

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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.