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Finding the Fourth Proportional to 288,691.20, 398,396.16 and 161,372.16

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Solution

The fourth proportional to 288,691.20, 398,396.16 and 161,372.16 is: 222,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,691.20 : 398,396.16 = 161,372.16 : x
  2. Step 2: Convert to fraction form
    288,691.20/398,396.16 = 161,372.16/x
  3. Step 3: Cross multiply
    288,691.20x = 398,396.16 × 161,372.16
  4. Step 4: Simplify right side
    288,691.20x = 64,290,048,874.91
  5. Step 5: Solve for x
    x = 64,290,048,874.91/288,691.20
  6. Step 6: Final answer
    x = 222,694.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.