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Finding the Fourth Proportional to 272,272.32, 408,450.60 and 85,266

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Solution

The fourth proportional to 272,272.32, 408,450.60 and 85,266 is: 127,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,272.32 : 408,450.60 = 85,266 : x
  2. Step 2: Convert to fraction form
    272,272.32/408,450.60 = 85,266/x
  3. Step 3: Cross multiply
    272,272.32x = 408,450.60 × 85,266
  4. Step 4: Simplify right side
    272,272.32x = 34,826,948,859.60
  5. Step 5: Solve for x
    x = 34,826,948,859.60/272,272.32
  6. Step 6: Final answer
    x = 127,912.19

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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.