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Finding the Fourth Proportional to 269,811.75, 404,737.25 and 103,599.75

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Solution

The fourth proportional to 269,811.75, 404,737.25 and 103,599.75 is: 155,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,811.75 : 404,737.25 = 103,599.75 : x
  2. Step 2: Convert to fraction form
    269,811.75/404,737.25 = 103,599.75/x
  3. Step 3: Cross multiply
    269,811.75x = 404,737.25 × 103,599.75
  4. Step 4: Simplify right side
    269,811.75x = 41,930,677,397.69
  5. Step 5: Solve for x
    x = 41,930,677,397.69/269,811.75
  6. Step 6: Final answer
    x = 155,407.16

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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.