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Finding the Fourth Proportional to 306,500.75, 422,973.15 and 170,540.43

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Solution

The fourth proportional to 306,500.75, 422,973.15 and 170,540.43 is: 235,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500.75 : 422,973.15 = 170,540.43 : x
  2. Step 2: Convert to fraction form
    306,500.75/422,973.15 = 170,540.43/x
  3. Step 3: Cross multiply
    306,500.75x = 422,973.15 × 170,540.43
  4. Step 4: Simplify right side
    306,500.75x = 72,134,022,879.45
  5. Step 5: Solve for x
    x = 72,134,022,879.45/306,500.75
  6. Step 6: Final answer
    x = 235,346.97

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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.