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Finding the Fourth Proportional to 269,388, 404,098.20 and 82,401.12

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Solution

The fourth proportional to 269,388, 404,098.20 and 82,401.12 is: 123,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,388 : 404,098.20 = 82,401.12 : x
  2. Step 2: Convert to fraction form
    269,388/404,098.20 = 82,401.12/x
  3. Step 3: Cross multiply
    269,388x = 404,098.20 × 82,401.12
  4. Step 4: Simplify right side
    269,388x = 33,298,144,269.98
  5. Step 5: Solve for x
    x = 33,298,144,269.98/269,388
  6. Step 6: Final answer
    x = 123,606.64

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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.