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Finding the Fourth Proportional to 278,013.76, 383,654.84 and 157,150.82

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Solution

The fourth proportional to 278,013.76, 383,654.84 and 157,150.82 is: 216,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.76 : 383,654.84 = 157,150.82 : x
  2. Step 2: Convert to fraction form
    278,013.76/383,654.84 = 157,150.82/x
  3. Step 3: Cross multiply
    278,013.76x = 383,654.84 × 157,150.82
  4. Step 4: Simplify right side
    278,013.76x = 60,291,672,876.35
  5. Step 5: Solve for x
    x = 60,291,672,876.35/278,013.76
  6. Step 6: Final answer
    x = 216,865.79

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1.5x scale

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.