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Finding the Fourth Proportional to 396,988.70, 595,655.85 and 199,996.70

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Solution

The fourth proportional to 396,988.70, 595,655.85 and 199,996.70 is: 300,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,988.70 : 595,655.85 = 199,996.70 : x
  2. Step 2: Convert to fraction form
    396,988.70/595,655.85 = 199,996.70/x
  3. Step 3: Cross multiply
    396,988.70x = 595,655.85 × 199,996.70
  4. Step 4: Simplify right side
    396,988.70x = 119,129,204,335.70
  5. Step 5: Solve for x
    x = 119,129,204,335.70/396,988.70
  6. Step 6: Final answer
    x = 300,082.10

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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.