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Finding the Fourth Proportional to 271,891.20, 407,836.80 and 267,225.60

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Solution

The fourth proportional to 271,891.20, 407,836.80 and 267,225.60 is: 400,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,891.20 : 407,836.80 = 267,225.60 : x
  2. Step 2: Convert to fraction form
    271,891.20/407,836.80 = 267,225.60/x
  3. Step 3: Cross multiply
    271,891.20x = 407,836.80 × 267,225.60
  4. Step 4: Simplify right side
    271,891.20x = 108,984,433,582.08
  5. Step 5: Solve for x
    x = 108,984,433,582.08/271,891.20
  6. Step 6: Final answer
    x = 400,838.40

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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.