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Finding the Fourth Proportional to 269,223.78, 403,837.29 and 82,235.28

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Solution

The fourth proportional to 269,223.78, 403,837.29 and 82,235.28 is: 123,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,223.78 : 403,837.29 = 82,235.28 : x
  2. Step 2: Convert to fraction form
    269,223.78/403,837.29 = 82,235.28/x
  3. Step 3: Cross multiply
    269,223.78x = 403,837.29 × 82,235.28
  4. Step 4: Simplify right side
    269,223.78x = 33,209,672,617.59
  5. Step 5: Solve for x
    x = 33,209,672,617.59/269,223.78
  6. Step 6: Final answer
    x = 123,353.41

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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.