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Finding the Fourth Proportional to 306,500.76, 422,973.16 and 170,540.42

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Solution

The fourth proportional to 306,500.76, 422,973.16 and 170,540.42 is: 235,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500.76 : 422,973.16 = 170,540.42 : x
  2. Step 2: Convert to fraction form
    306,500.76/422,973.16 = 170,540.42/x
  3. Step 3: Cross multiply
    306,500.76x = 422,973.16 × 170,540.42
  4. Step 4: Simplify right side
    306,500.76x = 72,134,020,355.13
  5. Step 5: Solve for x
    x = 72,134,020,355.13/306,500.76
  6. Step 6: Final answer
    x = 235,346.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.