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Finding the Fourth Proportional to 299,277.40, 447,620.10 and 267,914.20

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Solution

The fourth proportional to 299,277.40, 447,620.10 and 267,914.20 is: 400,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,277.40 : 447,620.10 = 267,914.20 : x
  2. Step 2: Convert to fraction form
    299,277.40/447,620.10 = 267,914.20/x
  3. Step 3: Cross multiply
    299,277.40x = 447,620.10 × 267,914.20
  4. Step 4: Simplify right side
    299,277.40x = 119,923,780,995.42
  5. Step 5: Solve for x
    x = 119,923,780,995.42/299,277.40
  6. Step 6: Final answer
    x = 400,711.12

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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.