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Finding the Fourth Proportional to 308,209.60, 462,007.20 and 141,707.20

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Solution

The fourth proportional to 308,209.60, 462,007.20 and 141,707.20 is: 212,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,209.60 : 462,007.20 = 141,707.20 : x
  2. Step 2: Convert to fraction form
    308,209.60/462,007.20 = 141,707.20/x
  3. Step 3: Cross multiply
    308,209.60x = 462,007.20 × 141,707.20
  4. Step 4: Simplify right side
    308,209.60x = 65,469,746,691.84
  5. Step 5: Solve for x
    x = 65,469,746,691.84/308,209.60
  6. Step 6: Final answer
    x = 212,419.56

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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.