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Finding the Fourth Proportional to 486,326.38, 729,404.52 and 220,024.30

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Solution

The fourth proportional to 486,326.38, 729,404.52 and 220,024.30 is: 329,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,326.38 : 729,404.52 = 220,024.30 : x
  2. Step 2: Convert to fraction form
    486,326.38/729,404.52 = 220,024.30/x
  3. Step 3: Cross multiply
    486,326.38x = 729,404.52 × 220,024.30
  4. Step 4: Simplify right side
    486,326.38x = 160,486,718,929.84
  5. Step 5: Solve for x
    x = 160,486,718,929.84/486,326.38
  6. Step 6: Final answer
    x = 329,997.97

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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.