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Finding the Fourth Proportional to 308,972.40, 463,631.40 and 131,449.20

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Solution

The fourth proportional to 308,972.40, 463,631.40 and 131,449.20 is: 197,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,972.40 : 463,631.40 = 131,449.20 : x
  2. Step 2: Convert to fraction form
    308,972.40/463,631.40 = 131,449.20/x
  3. Step 3: Cross multiply
    308,972.40x = 463,631.40 × 131,449.20
  4. Step 4: Simplify right side
    308,972.40x = 60,943,976,624.88
  5. Step 5: Solve for x
    x = 60,943,976,624.88/308,972.40
  6. Step 6: Final answer
    x = 197,247.32

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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.