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Finding the Fourth Proportional to 269,831, 404,766.12 and 103,619

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Solution

The fourth proportional to 269,831, 404,766.12 and 103,619 is: 155,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,831 : 404,766.12 = 103,619 : x
  2. Step 2: Convert to fraction form
    269,831/404,766.12 = 103,619/x
  3. Step 3: Cross multiply
    269,831x = 404,766.12 × 103,619
  4. Step 4: Simplify right side
    269,831x = 41,941,460,588.28
  5. Step 5: Solve for x
    x = 41,941,460,588.28/269,831
  6. Step 6: Final answer
    x = 155,436.03

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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.