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Finding the Fourth Proportional to 271,805.60, 408,145.80 and 205,320.80

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Solution

The fourth proportional to 271,805.60, 408,145.80 and 205,320.80 is: 308,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,805.60 : 408,145.80 = 205,320.80 : x
  2. Step 2: Convert to fraction form
    271,805.60/408,145.80 = 205,320.80/x
  3. Step 3: Cross multiply
    271,805.60x = 408,145.80 × 205,320.80
  4. Step 4: Simplify right side
    271,805.60x = 83,800,822,172.64
  5. Step 5: Solve for x
    x = 83,800,822,172.64/271,805.60
  6. Step 6: Final answer
    x = 308,311.61

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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.