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Finding the Fourth Proportional to 278,586.31, 384,472.91 and 157,748.89

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Solution

The fourth proportional to 278,586.31, 384,472.91 and 157,748.89 is: 217,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,586.31 : 384,472.91 = 157,748.89 : x
  2. Step 2: Convert to fraction form
    278,586.31/384,472.91 = 157,748.89/x
  3. Step 3: Cross multiply
    278,586.31x = 384,472.91 × 157,748.89
  4. Step 4: Simplify right side
    278,586.31x = 60,650,174,787.57
  5. Step 5: Solve for x
    x = 60,650,174,787.57/278,586.31
  6. Step 6: Final answer
    x = 217,706.95

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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.