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Finding the Fourth Proportional to 547,266, 820,899 and 147,876.12

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Solution

The fourth proportional to 547,266, 820,899 and 147,876.12 is: 221,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,266 : 820,899 = 147,876.12 : x
  2. Step 2: Convert to fraction form
    547,266/820,899 = 147,876.12/x
  3. Step 3: Cross multiply
    547,266x = 820,899 × 147,876.12
  4. Step 4: Simplify right side
    547,266x = 121,391,359,031.88
  5. Step 5: Solve for x
    x = 121,391,359,031.88/547,266
  6. Step 6: Final answer
    x = 221,814.18

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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.