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Finding the Fourth Proportional to 399,082.20, 598,103.46 and 162,147.88

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Solution

The fourth proportional to 399,082.20, 598,103.46 and 162,147.88 is: 243,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,082.20 : 598,103.46 = 162,147.88 : x
  2. Step 2: Convert to fraction form
    399,082.20/598,103.46 = 162,147.88/x
  3. Step 3: Cross multiply
    399,082.20x = 598,103.46 × 162,147.88
  4. Step 4: Simplify right side
    399,082.20x = 96,981,208,059.66
  5. Step 5: Solve for x
    x = 96,981,208,059.66/399,082.20
  6. Step 6: Final answer
    x = 243,010.61

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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.