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Finding the Fourth Proportional to 272,366.55, 408,552.71 and 82,857.78

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Solution

The fourth proportional to 272,366.55, 408,552.71 and 82,857.78 is: 124,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,366.55 : 408,552.71 = 82,857.78 : x
  2. Step 2: Convert to fraction form
    272,366.55/408,552.71 = 82,857.78/x
  3. Step 3: Cross multiply
    272,366.55x = 408,552.71 × 82,857.78
  4. Step 4: Simplify right side
    272,366.55x = 33,851,770,149.29
  5. Step 5: Solve for x
    x = 33,851,770,149.29/272,366.55
  6. Step 6: Final answer
    x = 124,287.55

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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.