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Finding the Fourth Proportional to 269,430, 404,161.20 and 82,443.12

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Solution

The fourth proportional to 269,430, 404,161.20 and 82,443.12 is: 123,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,430 : 404,161.20 = 82,443.12 : x
  2. Step 2: Convert to fraction form
    269,430/404,161.20 = 82,443.12/x
  3. Step 3: Cross multiply
    269,430x = 404,161.20 × 82,443.12
  4. Step 4: Simplify right side
    269,430x = 33,320,310,310.94
  5. Step 5: Solve for x
    x = 33,320,310,310.94/269,430
  6. Step 6: Final answer
    x = 123,669.64

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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.