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Finding the Fourth Proportional to 378,760.32, 522,686.22 and 206,674.40

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Solution

The fourth proportional to 378,760.32, 522,686.22 and 206,674.40 is: 285,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,760.32 : 522,686.22 = 206,674.40 : x
  2. Step 2: Convert to fraction form
    378,760.32/522,686.22 = 206,674.40/x
  3. Step 3: Cross multiply
    378,760.32x = 522,686.22 × 206,674.40
  4. Step 4: Simplify right side
    378,760.32x = 108,025,861,438.46
  5. Step 5: Solve for x
    x = 108,025,861,438.46/378,760.32
  6. Step 6: Final answer
    x = 285,209.02

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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.