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Finding the Fourth Proportional to 271,998.80, 408,084.60 and 122,181.20

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Solution

The fourth proportional to 271,998.80, 408,084.60 and 122,181.20 is: 183,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,998.80 : 408,084.60 = 122,181.20 : x
  2. Step 2: Convert to fraction form
    271,998.80/408,084.60 = 122,181.20/x
  3. Step 3: Cross multiply
    271,998.80x = 408,084.60 × 122,181.20
  4. Step 4: Simplify right side
    271,998.80x = 49,860,266,129.52
  5. Step 5: Solve for x
    x = 49,860,266,129.52/271,998.80
  6. Step 6: Final answer
    x = 183,310.61

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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.