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Finding the Fourth Proportional to 278,234.52, 417,376.80 and 78,556.92

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Solution

The fourth proportional to 278,234.52, 417,376.80 and 78,556.92 is: 117,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,234.52 : 417,376.80 = 78,556.92 : x
  2. Step 2: Convert to fraction form
    278,234.52/417,376.80 = 78,556.92/x
  3. Step 3: Cross multiply
    278,234.52x = 417,376.80 × 78,556.92
  4. Step 4: Simplify right side
    278,234.52x = 32,787,835,887.46
  5. Step 5: Solve for x
    x = 32,787,835,887.46/278,234.52
  6. Step 6: Final answer
    x = 117,842.44

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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.