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Finding the Fourth Proportional to 269,455.80, 404,241.30 and 82,486.20

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Solution

The fourth proportional to 269,455.80, 404,241.30 and 82,486.20 is: 123,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,455.80 : 404,241.30 = 82,486.20 : x
  2. Step 2: Convert to fraction form
    269,455.80/404,241.30 = 82,486.20/x
  3. Step 3: Cross multiply
    269,455.80x = 404,241.30 × 82,486.20
  4. Step 4: Simplify right side
    269,455.80x = 33,344,328,720.06
  5. Step 5: Solve for x
    x = 33,344,328,720.06/269,455.80
  6. Step 6: Final answer
    x = 123,746.93

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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.