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Finding the Fourth Proportional to 308,316.80, 462,738.56 and 219,786.88

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Solution

The fourth proportional to 308,316.80, 462,738.56 and 219,786.88 is: 329,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,316.80 : 462,738.56 = 219,786.88 : x
  2. Step 2: Convert to fraction form
    308,316.80/462,738.56 = 219,786.88/x
  3. Step 3: Cross multiply
    308,316.80x = 462,738.56 × 219,786.88
  4. Step 4: Simplify right side
    308,316.80x = 101,703,864,358.09
  5. Step 5: Solve for x
    x = 101,703,864,358.09/308,316.80
  6. Step 6: Final answer
    x = 329,868.06

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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.