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Finding the Fourth Proportional to 272,853.20, 409,324.60 and 85,819.60

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Solution

The fourth proportional to 272,853.20, 409,324.60 and 85,819.60 is: 128,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,853.20 : 409,324.60 = 85,819.60 : x
  2. Step 2: Convert to fraction form
    272,853.20/409,324.60 = 85,819.60/x
  3. Step 3: Cross multiply
    272,853.20x = 409,324.60 × 85,819.60
  4. Step 4: Simplify right side
    272,853.20x = 35,128,073,442.16
  5. Step 5: Solve for x
    x = 35,128,073,442.16/272,853.20
  6. Step 6: Final answer
    x = 128,743.49

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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.