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Finding the Fourth Proportional to 278,534.60, 417,801.90 and 260,819.90

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Solution

The fourth proportional to 278,534.60, 417,801.90 and 260,819.90 is: 391,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,534.60 : 417,801.90 = 260,819.90 : x
  2. Step 2: Convert to fraction form
    278,534.60/417,801.90 = 260,819.90/x
  3. Step 3: Cross multiply
    278,534.60x = 417,801.90 × 260,819.90
  4. Step 4: Simplify right side
    278,534.60x = 108,971,049,777.81
  5. Step 5: Solve for x
    x = 108,971,049,777.81/278,534.60
  6. Step 6: Final answer
    x = 391,229.85

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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.