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Finding the Fourth Proportional to 269,244.60, 403,886.10 and 82,255.80

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Solution

The fourth proportional to 269,244.60, 403,886.10 and 82,255.80 is: 123,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,244.60 : 403,886.10 = 82,255.80 : x
  2. Step 2: Convert to fraction form
    269,244.60/403,886.10 = 82,255.80/x
  3. Step 3: Cross multiply
    269,244.60x = 403,886.10 × 82,255.80
  4. Step 4: Simplify right side
    269,244.60x = 33,221,974,264.38
  5. Step 5: Solve for x
    x = 33,221,974,264.38/269,244.60
  6. Step 6: Final answer
    x = 123,389.57

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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.