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Finding the Fourth Proportional to 398,213.92, 597,408.31 and 292,713.04

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Solution

The fourth proportional to 398,213.92, 597,408.31 and 292,713.04 is: 439,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,213.92 : 597,408.31 = 292,713.04 : x
  2. Step 2: Convert to fraction form
    398,213.92/597,408.31 = 292,713.04/x
  3. Step 3: Cross multiply
    398,213.92x = 597,408.31 × 292,713.04
  4. Step 4: Simplify right side
    398,213.92x = 174,869,203,654.01
  5. Step 5: Solve for x
    x = 174,869,203,654.01/398,213.92
  6. Step 6: Final answer
    x = 439,133.83

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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.