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Finding the Fourth Proportional to 269,115.50, 371,379.40 and 149,883.50

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Solution

The fourth proportional to 269,115.50, 371,379.40 and 149,883.50 is: 206,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,115.50 : 371,379.40 = 149,883.50 : x
  2. Step 2: Convert to fraction form
    269,115.50/371,379.40 = 149,883.50/x
  3. Step 3: Cross multiply
    269,115.50x = 371,379.40 × 149,883.50
  4. Step 4: Simplify right side
    269,115.50x = 55,663,644,299.90
  5. Step 5: Solve for x
    x = 55,663,644,299.90/269,115.50
  6. Step 6: Final answer
    x = 206,839.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.