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Finding the Fourth Proportional to 396,662.42, 547,390.76 and 215,370.78

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Solution

The fourth proportional to 396,662.42, 547,390.76 and 215,370.78 is: 297,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,662.42 : 547,390.76 = 215,370.78 : x
  2. Step 2: Convert to fraction form
    396,662.42/547,390.76 = 215,370.78/x
  3. Step 3: Cross multiply
    396,662.42x = 547,390.76 × 215,370.78
  4. Step 4: Simplify right side
    396,662.42x = 117,891,973,869.14
  5. Step 5: Solve for x
    x = 117,891,973,869.14/396,662.42
  6. Step 6: Final answer
    x = 297,209.84

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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.