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Finding the Fourth Proportional to 392,871.12, 542,147.68 and 240,165.04

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Solution

The fourth proportional to 392,871.12, 542,147.68 and 240,165.04 is: 331,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,871.12 : 542,147.68 = 240,165.04 : x
  2. Step 2: Convert to fraction form
    392,871.12/542,147.68 = 240,165.04/x
  3. Step 3: Cross multiply
    392,871.12x = 542,147.68 × 240,165.04
  4. Step 4: Simplify right side
    392,871.12x = 130,204,919,253.11
  5. Step 5: Solve for x
    x = 130,204,919,253.11/392,871.12
  6. Step 6: Final answer
    x = 331,418.91

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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.