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Finding the Fourth Proportional to 308,546.40, 462,992.40 and 131,023.20

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Solution

The fourth proportional to 308,546.40, 462,992.40 and 131,023.20 is: 196,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,546.40 : 462,992.40 = 131,023.20 : x
  2. Step 2: Convert to fraction form
    308,546.40/462,992.40 = 131,023.20/x
  3. Step 3: Cross multiply
    308,546.40x = 462,992.40 × 131,023.20
  4. Step 4: Simplify right side
    308,546.40x = 60,662,745,823.68
  5. Step 5: Solve for x
    x = 60,662,745,823.68/308,546.40
  6. Step 6: Final answer
    x = 196,608.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.