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Finding the Fourth Proportional to 269,404.28, 404,091.77 and 82,415.78

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Solution

The fourth proportional to 269,404.28, 404,091.77 and 82,415.78 is: 123,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,404.28 : 404,091.77 = 82,415.78 : x
  2. Step 2: Convert to fraction form
    269,404.28/404,091.77 = 82,415.78/x
  3. Step 3: Cross multiply
    269,404.28x = 404,091.77 × 82,415.78
  4. Step 4: Simplify right side
    269,404.28x = 33,303,538,416.13
  5. Step 5: Solve for x
    x = 33,303,538,416.13/269,404.28
  6. Step 6: Final answer
    x = 123,619.19

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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.