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Finding the Fourth Proportional to 306,180, 422,542.80 and 170,216.19

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Solution

The fourth proportional to 306,180, 422,542.80 and 170,216.19 is: 234,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,180 : 422,542.80 = 170,216.19 : x
  2. Step 2: Convert to fraction form
    306,180/422,542.80 = 170,216.19/x
  3. Step 3: Cross multiply
    306,180x = 422,542.80 × 170,216.19
  4. Step 4: Simplify right side
    306,180x = 71,923,625,527.93
  5. Step 5: Solve for x
    x = 71,923,625,527.93/306,180
  6. Step 6: Final answer
    x = 234,906.35

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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.