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Finding the Fourth Proportional to 278,269.53, 417,469.82 and 221,557.92

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Solution

The fourth proportional to 278,269.53, 417,469.82 and 221,557.92 is: 332,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,269.53 : 417,469.82 = 221,557.92 : x
  2. Step 2: Convert to fraction form
    278,269.53/417,469.82 = 221,557.92/x
  3. Step 3: Cross multiply
    278,269.53x = 417,469.82 × 221,557.92
  4. Step 4: Simplify right side
    278,269.53x = 92,493,743,874.18
  5. Step 5: Solve for x
    x = 92,493,743,874.18/278,269.53
  6. Step 6: Final answer
    x = 332,389.05

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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.