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Finding the Fourth Proportional to 269,715.70, 403,882.35 and 199,213.30

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Solution

The fourth proportional to 269,715.70, 403,882.35 and 199,213.30 is: 298,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,715.70 : 403,882.35 = 199,213.30 : x
  2. Step 2: Convert to fraction form
    269,715.70/403,882.35 = 199,213.30/x
  3. Step 3: Cross multiply
    269,715.70x = 403,882.35 × 199,213.30
  4. Step 4: Simplify right side
    269,715.70x = 80,458,735,755.26
  5. Step 5: Solve for x
    x = 80,458,735,755.26/269,715.70
  6. Step 6: Final answer
    x = 298,309.43

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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.