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Finding the Fourth Proportional to 402,279.65, 603,241.28 and 135,967.85

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Solution

The fourth proportional to 402,279.65, 603,241.28 and 135,967.85 is: 203,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,279.65 : 603,241.28 = 135,967.85 : x
  2. Step 2: Convert to fraction form
    402,279.65/603,241.28 = 135,967.85/x
  3. Step 3: Cross multiply
    402,279.65x = 603,241.28 × 135,967.85
  4. Step 4: Simplify right side
    402,279.65x = 82,021,419,193.01
  5. Step 5: Solve for x
    x = 82,021,419,193.01/402,279.65
  6. Step 6: Final answer
    x = 203,891.54

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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.