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Finding the Fourth Proportional to 267,291.20, 400,936.80 and 172,812.80

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Solution

The fourth proportional to 267,291.20, 400,936.80 and 172,812.80 is: 259,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,291.20 : 400,936.80 = 172,812.80 : x
  2. Step 2: Convert to fraction form
    267,291.20/400,936.80 = 172,812.80/x
  3. Step 3: Cross multiply
    267,291.20x = 400,936.80 × 172,812.80
  4. Step 4: Simplify right side
    267,291.20x = 69,287,011,031.04
  5. Step 5: Solve for x
    x = 69,287,011,031.04/267,291.20
  6. Step 6: Final answer
    x = 259,219.20

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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.