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Finding the Fourth Proportional to 547,286.20, 820,929.30 and 147,988.60

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Solution

The fourth proportional to 547,286.20, 820,929.30 and 147,988.60 is: 221,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,286.20 : 820,929.30 = 147,988.60 : x
  2. Step 2: Convert to fraction form
    547,286.20/820,929.30 = 147,988.60/x
  3. Step 3: Cross multiply
    547,286.20x = 820,929.30 × 147,988.60
  4. Step 4: Simplify right side
    547,286.20x = 121,488,177,805.98
  5. Step 5: Solve for x
    x = 121,488,177,805.98/547,286.20
  6. Step 6: Final answer
    x = 221,982.90

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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.