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Finding the Fourth Proportional to 278,468.92, 417,177.30 and 215,832.76

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Solution

The fourth proportional to 278,468.92, 417,177.30 and 215,832.76 is: 323,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468.92 : 417,177.30 = 215,832.76 : x
  2. Step 2: Convert to fraction form
    278,468.92/417,177.30 = 215,832.76/x
  3. Step 3: Cross multiply
    278,468.92x = 417,177.30 × 215,832.76
  4. Step 4: Simplify right side
    278,468.92x = 90,040,528,068.35
  5. Step 5: Solve for x
    x = 90,040,528,068.35/278,468.92
  6. Step 6: Final answer
    x = 323,341.39

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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.