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Finding the Fourth Proportional to 306,275, 422,659.85 and 170,306.03

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Solution

The fourth proportional to 306,275, 422,659.85 and 170,306.03 is: 235,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,275 : 422,659.85 = 170,306.03 : x
  2. Step 2: Convert to fraction form
    306,275/422,659.85 = 170,306.03/x
  3. Step 3: Cross multiply
    306,275x = 422,659.85 × 170,306.03
  4. Step 4: Simplify right side
    306,275x = 71,981,521,093.90
  5. Step 5: Solve for x
    x = 71,981,521,093.90/306,275
  6. Step 6: Final answer
    x = 235,022.52

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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.