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Finding the Fourth Proportional to 396,723.14, 594,866 and 206,709.30

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Solution

The fourth proportional to 396,723.14, 594,866 and 206,709.30 is: 309,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,723.14 : 594,866 = 206,709.30 : x
  2. Step 2: Convert to fraction form
    396,723.14/594,866 = 206,709.30/x
  3. Step 3: Cross multiply
    396,723.14x = 594,866 × 206,709.30
  4. Step 4: Simplify right side
    396,723.14x = 122,964,334,453.80
  5. Step 5: Solve for x
    x = 122,964,334,453.80/396,723.14
  6. Step 6: Final answer
    x = 309,949.99

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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.