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Finding the Fourth Proportional to 278,233.79, 383,962.53 and 157,372.47

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Solution

The fourth proportional to 278,233.79, 383,962.53 and 157,372.47 is: 217,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,233.79 : 383,962.53 = 157,372.47 : x
  2. Step 2: Convert to fraction form
    278,233.79/383,962.53 = 157,372.47/x
  3. Step 3: Cross multiply
    278,233.79x = 383,962.53 × 157,372.47
  4. Step 4: Simplify right side
    278,233.79x = 60,425,131,438.48
  5. Step 5: Solve for x
    x = 60,425,131,438.48/278,233.79
  6. Step 6: Final answer
    x = 217,173.95

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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.