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Finding the Fourth Proportional to 272,940.68, 409,469.88 and 132,778.28

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Solution

The fourth proportional to 272,940.68, 409,469.88 and 132,778.28 is: 199,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,940.68 : 409,469.88 = 132,778.28 : x
  2. Step 2: Convert to fraction form
    272,940.68/409,469.88 = 132,778.28/x
  3. Step 3: Cross multiply
    272,940.68x = 409,469.88 × 132,778.28
  4. Step 4: Simplify right side
    272,940.68x = 54,368,706,378.21
  5. Step 5: Solve for x
    x = 54,368,706,378.21/272,940.68
  6. Step 6: Final answer
    x = 199,196.05

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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.