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Finding the Fourth Proportional to 398,834.68, 550,398.42 and 217,546.60

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Solution

The fourth proportional to 398,834.68, 550,398.42 and 217,546.60 is: 300,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,834.68 : 550,398.42 = 217,546.60 : x
  2. Step 2: Convert to fraction form
    398,834.68/550,398.42 = 217,546.60/x
  3. Step 3: Cross multiply
    398,834.68x = 550,398.42 × 217,546.60
  4. Step 4: Simplify right side
    398,834.68x = 119,737,304,916.37
  5. Step 5: Solve for x
    x = 119,737,304,916.37/398,834.68
  6. Step 6: Final answer
    x = 300,217.89

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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.