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Finding the Fourth Proportional to 272,494.26, 408,807.04 and 85,505.76

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Solution

The fourth proportional to 272,494.26, 408,807.04 and 85,505.76 is: 128,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,494.26 : 408,807.04 = 85,505.76 : x
  2. Step 2: Convert to fraction form
    272,494.26/408,807.04 = 85,505.76/x
  3. Step 3: Cross multiply
    272,494.26x = 408,807.04 × 85,505.76
  4. Step 4: Simplify right side
    272,494.26x = 34,955,356,648.55
  5. Step 5: Solve for x
    x = 34,955,356,648.55/272,494.26
  6. Step 6: Final answer
    x = 128,279.24

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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.