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Finding the Fourth Proportional to 393,691.59, 543,288.26 and 221,609.18

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Solution

The fourth proportional to 393,691.59, 543,288.26 and 221,609.18 is: 305,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,691.59 : 543,288.26 = 221,609.18 : x
  2. Step 2: Convert to fraction form
    393,691.59/543,288.26 = 221,609.18/x
  3. Step 3: Cross multiply
    393,691.59x = 543,288.26 × 221,609.18
  4. Step 4: Simplify right side
    393,691.59x = 120,397,664,694.18
  5. Step 5: Solve for x
    x = 120,397,664,694.18/393,691.59
  6. Step 6: Final answer
    x = 305,817.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.