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Finding the Fourth Proportional to 272,393.12, 408,589.68 and 85,419.20

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Solution

The fourth proportional to 272,393.12, 408,589.68 and 85,419.20 is: 128,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,393.12 : 408,589.68 = 85,419.20 : x
  2. Step 2: Convert to fraction form
    272,393.12/408,589.68 = 85,419.20/x
  3. Step 3: Cross multiply
    272,393.12x = 408,589.68 × 85,419.20
  4. Step 4: Simplify right side
    272,393.12x = 34,901,403,593.86
  5. Step 5: Solve for x
    x = 34,901,403,593.86/272,393.12
  6. Step 6: Final answer
    x = 128,128.80

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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.