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Finding the Fourth Proportional to 267,400.80, 401,158.80 and 80,431.20

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Solution

The fourth proportional to 267,400.80, 401,158.80 and 80,431.20 is: 120,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,400.80 : 401,158.80 = 80,431.20 : x
  2. Step 2: Convert to fraction form
    267,400.80/401,158.80 = 80,431.20/x
  3. Step 3: Cross multiply
    267,400.80x = 401,158.80 × 80,431.20
  4. Step 4: Simplify right side
    267,400.80x = 32,265,683,674.56
  5. Step 5: Solve for x
    x = 32,265,683,674.56/267,400.80
  6. Step 6: Final answer
    x = 120,664.13

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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.