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Finding the Fourth Proportional to 206,073.28, 285,835.99 and 200,610.64

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Solution

The fourth proportional to 206,073.28, 285,835.99 and 200,610.64 is: 278,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,073.28 : 285,835.99 = 200,610.64 : x
  2. Step 2: Convert to fraction form
    206,073.28/285,835.99 = 200,610.64/x
  3. Step 3: Cross multiply
    206,073.28x = 285,835.99 × 200,610.64
  4. Step 4: Simplify right side
    206,073.28x = 57,341,740,888.93
  5. Step 5: Solve for x
    x = 57,341,740,888.93/206,073.28
  6. Step 6: Final answer
    x = 278,258.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.