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Finding the Fourth Proportional to 308,132.40, 462,198.60 and 142,244.40

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Solution

The fourth proportional to 308,132.40, 462,198.60 and 142,244.40 is: 213,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.40 : 462,198.60 = 142,244.40 : x
  2. Step 2: Convert to fraction form
    308,132.40/462,198.60 = 142,244.40/x
  3. Step 3: Cross multiply
    308,132.40x = 462,198.60 × 142,244.40
  4. Step 4: Simplify right side
    308,132.40x = 65,745,162,537.84
  5. Step 5: Solve for x
    x = 65,745,162,537.84/308,132.40
  6. Step 6: Final answer
    x = 213,366.60

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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.