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Finding the Fourth Proportional to 269,878.40, 404,817.60 and 82,899.20

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Solution

The fourth proportional to 269,878.40, 404,817.60 and 82,899.20 is: 124,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,878.40 : 404,817.60 = 82,899.20 : x
  2. Step 2: Convert to fraction form
    269,878.40/404,817.60 = 82,899.20/x
  3. Step 3: Cross multiply
    269,878.40x = 404,817.60 × 82,899.20
  4. Step 4: Simplify right side
    269,878.40x = 33,559,055,185.92
  5. Step 5: Solve for x
    x = 33,559,055,185.92/269,878.40
  6. Step 6: Final answer
    x = 124,348.80

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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.