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Finding the Fourth Proportional to 396,713.80, 547,464.42 and 217,865.80

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Solution

The fourth proportional to 396,713.80, 547,464.42 and 217,865.80 is: 300,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,713.80 : 547,464.42 = 217,865.80 : x
  2. Step 2: Convert to fraction form
    396,713.80/547,464.42 = 217,865.80/x
  3. Step 3: Cross multiply
    396,713.80x = 547,464.42 × 217,865.80
  4. Step 4: Simplify right side
    396,713.80x = 119,273,773,834.84
  5. Step 5: Solve for x
    x = 119,273,773,834.84/396,713.80
  6. Step 6: Final answer
    x = 300,654.46

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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.