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Finding the Fourth Proportional to 278,696.52, 417,751.92 and 136,345.20

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Solution

The fourth proportional to 278,696.52, 417,751.92 and 136,345.20 is: 204,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,696.52 : 417,751.92 = 136,345.20 : x
  2. Step 2: Convert to fraction form
    278,696.52/417,751.92 = 136,345.20/x
  3. Step 3: Cross multiply
    278,696.52x = 417,751.92 × 136,345.20
  4. Step 4: Simplify right side
    278,696.52x = 56,958,469,082.78
  5. Step 5: Solve for x
    x = 56,958,469,082.78/278,696.52
  6. Step 6: Final answer
    x = 204,374.53

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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.