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Finding the Fourth Proportional to 278,311.60, 417,443.10 and 91,323.10

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Solution

The fourth proportional to 278,311.60, 417,443.10 and 91,323.10 is: 136,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.60 : 417,443.10 = 91,323.10 : x
  2. Step 2: Convert to fraction form
    278,311.60/417,443.10 = 91,323.10/x
  3. Step 3: Cross multiply
    278,311.60x = 417,443.10 × 91,323.10
  4. Step 4: Simplify right side
    278,311.60x = 38,122,197,965.61
  5. Step 5: Solve for x
    x = 38,122,197,965.61/278,311.60
  6. Step 6: Final answer
    x = 136,976.68

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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.