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Finding the Fourth Proportional to 271,915.20, 407,872.80 and 122,227.20

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Solution

The fourth proportional to 271,915.20, 407,872.80 and 122,227.20 is: 183,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,915.20 : 407,872.80 = 122,227.20 : x
  2. Step 2: Convert to fraction form
    271,915.20/407,872.80 = 122,227.20/x
  3. Step 3: Cross multiply
    271,915.20x = 407,872.80 × 122,227.20
  4. Step 4: Simplify right side
    271,915.20x = 49,853,150,300.16
  5. Step 5: Solve for x
    x = 49,853,150,300.16/271,915.20
  6. Step 6: Final answer
    x = 183,340.80

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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.