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Finding the Fourth Proportional to 396,949.80, 596,115.90 and 210,325.80

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Solution

The fourth proportional to 396,949.80, 596,115.90 and 210,325.80 is: 315,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,949.80 : 596,115.90 = 210,325.80 : x
  2. Step 2: Convert to fraction form
    396,949.80/596,115.90 = 210,325.80/x
  3. Step 3: Cross multiply
    396,949.80x = 596,115.90 × 210,325.80
  4. Step 4: Simplify right side
    396,949.80x = 125,378,553,560.22
  5. Step 5: Solve for x
    x = 125,378,553,560.22/396,949.80
  6. Step 6: Final answer
    x = 315,854.94

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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.