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Finding the Fourth Proportional to 271,974.80, 408,048.60 and 122,157.20

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Solution

The fourth proportional to 271,974.80, 408,048.60 and 122,157.20 is: 183,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974.80 : 408,048.60 = 122,157.20 : x
  2. Step 2: Convert to fraction form
    271,974.80/408,048.60 = 122,157.20/x
  3. Step 3: Cross multiply
    271,974.80x = 408,048.60 × 122,157.20
  4. Step 4: Simplify right side
    271,974.80x = 49,846,074,439.92
  5. Step 5: Solve for x
    x = 49,846,074,439.92/271,974.80
  6. Step 6: Final answer
    x = 183,274.61

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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.