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Finding the Fourth Proportional to 278,082.65, 415,981.85 and 222,032.34

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Solution

The fourth proportional to 278,082.65, 415,981.85 and 222,032.34 is: 332,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,082.65 : 415,981.85 = 222,032.34 : x
  2. Step 2: Convert to fraction form
    278,082.65/415,981.85 = 222,032.34/x
  3. Step 3: Cross multiply
    278,082.65x = 415,981.85 × 222,032.34
  4. Step 4: Simplify right side
    278,082.65x = 92,361,422,442.87
  5. Step 5: Solve for x
    x = 92,361,422,442.87/278,082.65
  6. Step 6: Final answer
    x = 332,136.58

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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.