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Finding the Fourth Proportional to 269,199.88, 403,419.15 and 149,309.65

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Solution

The fourth proportional to 269,199.88, 403,419.15 and 149,309.65 is: 223,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,199.88 : 403,419.15 = 149,309.65 : x
  2. Step 2: Convert to fraction form
    269,199.88/403,419.15 = 149,309.65/x
  3. Step 3: Cross multiply
    269,199.88x = 403,419.15 × 149,309.65
  4. Step 4: Simplify right side
    269,199.88x = 60,234,371,822.35
  5. Step 5: Solve for x
    x = 60,234,371,822.35/269,199.88
  6. Step 6: Final answer
    x = 223,753.34

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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.