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Finding the Fourth Proportional to 312,378.96, 430,760.76 and 267,206.46

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Solution

The fourth proportional to 312,378.96, 430,760.76 and 267,206.46 is: 368,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,378.96 : 430,760.76 = 267,206.46 : x
  2. Step 2: Convert to fraction form
    312,378.96/430,760.76 = 267,206.46/x
  3. Step 3: Cross multiply
    312,378.96x = 430,760.76 × 267,206.46
  4. Step 4: Simplify right side
    312,378.96x = 115,102,057,786.51
  5. Step 5: Solve for x
    x = 115,102,057,786.51/312,378.96
  6. Step 6: Final answer
    x = 368,469.30

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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.