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Finding the Fourth Proportional to 312,377.28, 430,758.42 and 267,204.78

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Solution

The fourth proportional to 312,377.28, 430,758.42 and 267,204.78 is: 368,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,377.28 : 430,758.42 = 267,204.78 : x
  2. Step 2: Convert to fraction form
    312,377.28/430,758.42 = 267,204.78/x
  3. Step 3: Cross multiply
    312,377.28x = 430,758.42 × 267,204.78
  4. Step 4: Simplify right side
    312,377.28x = 115,100,708,849.25
  5. Step 5: Solve for x
    x = 115,100,708,849.25/312,377.28
  6. Step 6: Final answer
    x = 368,466.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.