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Finding the Fourth Proportional to 312,379.64, 430,761.71 and 267,207.16

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Solution

The fourth proportional to 312,379.64, 430,761.71 and 267,207.16 is: 368,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,379.64 : 430,761.71 = 267,207.16 : x
  2. Step 2: Convert to fraction form
    312,379.64/430,761.71 = 267,207.16/x
  3. Step 3: Cross multiply
    312,379.64x = 430,761.71 × 267,207.16
  4. Step 4: Simplify right side
    312,379.64x = 115,102,613,165.84
  5. Step 5: Solve for x
    x = 115,102,613,165.84/312,379.64
  6. Step 6: Final answer
    x = 368,470.28

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1.5x scale

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.