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Finding the Fourth Proportional to 278,889.12, 418,385.52 and 112,793.76

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Solution

The fourth proportional to 278,889.12, 418,385.52 and 112,793.76 is: 169,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,889.12 : 418,385.52 = 112,793.76 : x
  2. Step 2: Convert to fraction form
    278,889.12/418,385.52 = 112,793.76/x
  3. Step 3: Cross multiply
    278,889.12x = 418,385.52 × 112,793.76
  4. Step 4: Simplify right side
    278,889.12x = 47,191,275,930.36
  5. Step 5: Solve for x
    x = 47,191,275,930.36/278,889.12
  6. Step 6: Final answer
    x = 169,211.61

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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.