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Finding the Fourth Proportional to 273,299.72, 409,960.56 and 86,311.28

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Solution

The fourth proportional to 273,299.72, 409,960.56 and 86,311.28 is: 129,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,299.72 : 409,960.56 = 86,311.28 : x
  2. Step 2: Convert to fraction form
    273,299.72/409,960.56 = 86,311.28/x
  3. Step 3: Cross multiply
    273,299.72x = 409,960.56 × 86,311.28
  4. Step 4: Simplify right side
    273,299.72x = 35,384,220,683.12
  5. Step 5: Solve for x
    x = 35,384,220,683.12/273,299.72
  6. Step 6: Final answer
    x = 129,470.39

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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.