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Finding the Fourth Proportional to 259,304.32, 389,170.32 and 200,498.32

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Solution

The fourth proportional to 259,304.32, 389,170.32 and 200,498.32 is: 300,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,304.32 : 389,170.32 = 200,498.32 : x
  2. Step 2: Convert to fraction form
    259,304.32/389,170.32 = 200,498.32/x
  3. Step 3: Cross multiply
    259,304.32x = 389,170.32 × 200,498.32
  4. Step 4: Simplify right side
    259,304.32x = 78,027,995,353.86
  5. Step 5: Solve for x
    x = 78,027,995,353.86/259,304.32
  6. Step 6: Final answer
    x = 300,912.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.