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Finding the Fourth Proportional to 396,792, 547,609.68 and 217,978.56

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Solution

The fourth proportional to 396,792, 547,609.68 and 217,978.56 is: 300,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,792 : 547,609.68 = 217,978.56 : x
  2. Step 2: Convert to fraction form
    396,792/547,609.68 = 217,978.56/x
  3. Step 3: Cross multiply
    396,792x = 547,609.68 × 217,978.56
  4. Step 4: Simplify right side
    396,792x = 119,367,169,488.46
  5. Step 5: Solve for x
    x = 119,367,169,488.46/396,792
  6. Step 6: Final answer
    x = 300,830.59

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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.