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Finding the Fourth Proportional to 396,930, 547,763.40 and 218,082

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Solution

The fourth proportional to 396,930, 547,763.40 and 218,082 is: 300,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,930 : 547,763.40 = 218,082 : x
  2. Step 2: Convert to fraction form
    396,930/547,763.40 = 218,082/x
  3. Step 3: Cross multiply
    396,930x = 547,763.40 × 218,082
  4. Step 4: Simplify right side
    396,930x = 119,457,337,798.80
  5. Step 5: Solve for x
    x = 119,457,337,798.80/396,930
  6. Step 6: Final answer
    x = 300,953.16

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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.