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Finding the Fourth Proportional to 312,378.64, 430,760.34 and 267,206.17

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Solution

The fourth proportional to 312,378.64, 430,760.34 and 267,206.17 is: 368,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,378.64 : 430,760.34 = 267,206.17 : x
  2. Step 2: Convert to fraction form
    312,378.64/430,760.34 = 267,206.17/x
  3. Step 3: Cross multiply
    312,378.64x = 430,760.34 × 267,206.17
  4. Step 4: Simplify right side
    312,378.64x = 115,101,820,639.30
  5. Step 5: Solve for x
    x = 115,101,820,639.30/312,378.64
  6. Step 6: Final answer
    x = 368,468.92

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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.