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Finding the Fourth Proportional to 312,376.96, 430,758 and 267,204.48

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Solution

The fourth proportional to 312,376.96, 430,758 and 267,204.48 is: 368,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.96 : 430,758 = 267,204.48 : x
  2. Step 2: Convert to fraction form
    312,376.96/430,758 = 267,204.48/x
  3. Step 3: Cross multiply
    312,376.96x = 430,758 × 267,204.48
  4. Step 4: Simplify right side
    312,376.96x = 115,100,467,395.84
  5. Step 5: Solve for x
    x = 115,100,467,395.84/312,376.96
  6. Step 6: Final answer
    x = 368,466.57

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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.