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Finding the Fourth Proportional to 269,381.40, 404,015.40 and 136,136.40

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Solution

The fourth proportional to 269,381.40, 404,015.40 and 136,136.40 is: 204,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,381.40 : 404,015.40 = 136,136.40 : x
  2. Step 2: Convert to fraction form
    269,381.40/404,015.40 = 136,136.40/x
  3. Step 3: Cross multiply
    269,381.40x = 404,015.40 × 136,136.40
  4. Step 4: Simplify right side
    269,381.40x = 55,001,202,100.56
  5. Step 5: Solve for x
    x = 55,001,202,100.56/269,381.40
  6. Step 6: Final answer
    x = 204,175.95

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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.