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Finding the Fourth Proportional to 547,517.25, 820,736.10 and 192,282.15

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Solution

The fourth proportional to 547,517.25, 820,736.10 and 192,282.15 is: 288,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,517.25 : 820,736.10 = 192,282.15 : x
  2. Step 2: Convert to fraction form
    547,517.25/820,736.10 = 192,282.15/x
  3. Step 3: Cross multiply
    547,517.25x = 820,736.10 × 192,282.15
  4. Step 4: Simplify right side
    547,517.25x = 157,812,901,890.62
  5. Step 5: Solve for x
    x = 157,812,901,890.62/547,517.25
  6. Step 6: Final answer
    x = 288,233.66

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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.