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Finding the Fourth Proportional to 272,493.25, 408,805.53 and 85,504.75

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Solution

The fourth proportional to 272,493.25, 408,805.53 and 85,504.75 is: 128,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,493.25 : 408,805.53 = 85,504.75 : x
  2. Step 2: Convert to fraction form
    272,493.25/408,805.53 = 85,504.75/x
  3. Step 3: Cross multiply
    272,493.25x = 408,805.53 × 85,504.75
  4. Step 4: Simplify right side
    272,493.25x = 34,954,814,641.27
  5. Step 5: Solve for x
    x = 34,954,814,641.27/272,493.25
  6. Step 6: Final answer
    x = 128,277.73

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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.