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Finding the Fourth Proportional to 396,452.40, 593,463.60 and 218,414.40

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Solution

The fourth proportional to 396,452.40, 593,463.60 and 218,414.40 is: 326,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,452.40 : 593,463.60 = 218,414.40 : x
  2. Step 2: Convert to fraction form
    396,452.40/593,463.60 = 218,414.40/x
  3. Step 3: Cross multiply
    396,452.40x = 593,463.60 × 218,414.40
  4. Step 4: Simplify right side
    396,452.40x = 129,620,996,115.84
  5. Step 5: Solve for x
    x = 129,620,996,115.84/396,452.40
  6. Step 6: Final answer
    x = 326,952.23

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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.