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Finding the Fourth Proportional to 486,114.75, 729,169.97 and 131,164.11

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Solution

The fourth proportional to 486,114.75, 729,169.97 and 131,164.11 is: 196,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,114.75 : 729,169.97 = 131,164.11 : x
  2. Step 2: Convert to fraction form
    486,114.75/729,169.97 = 131,164.11/x
  3. Step 3: Cross multiply
    486,114.75x = 729,169.97 × 131,164.11
  4. Step 4: Simplify right side
    486,114.75x = 95,640,929,497.96
  5. Step 5: Solve for x
    x = 95,640,929,497.96/486,114.75
  6. Step 6: Final answer
    x = 196,745.58

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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.