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Finding the Fourth Proportional to 398,008.60, 596,138.10 and 161,229.40

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Solution

The fourth proportional to 398,008.60, 596,138.10 and 161,229.40 is: 241,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,008.60 : 596,138.10 = 161,229.40 : x
  2. Step 2: Convert to fraction form
    398,008.60/596,138.10 = 161,229.40/x
  3. Step 3: Cross multiply
    398,008.60x = 596,138.10 × 161,229.40
  4. Step 4: Simplify right side
    398,008.60x = 96,114,988,180.14
  5. Step 5: Solve for x
    x = 96,114,988,180.14/398,008.60
  6. Step 6: Final answer
    x = 241,489.73

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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.