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Finding the Fourth Proportional to 272,477.25, 408,781.50 and 85,488.75

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Solution

The fourth proportional to 272,477.25, 408,781.50 and 85,488.75 is: 128,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,477.25 : 408,781.50 = 85,488.75 : x
  2. Step 2: Convert to fraction form
    272,477.25/408,781.50 = 85,488.75/x
  3. Step 3: Cross multiply
    272,477.25x = 408,781.50 × 85,488.75
  4. Step 4: Simplify right side
    272,477.25x = 34,946,219,458.13
  5. Step 5: Solve for x
    x = 34,946,219,458.13/272,477.25
  6. Step 6: Final answer
    x = 128,253.71

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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.