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Finding the Fourth Proportional to 308,538, 462,843.72 and 108,816.96

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Solution

The fourth proportional to 308,538, 462,843.72 and 108,816.96 is: 163,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,538 : 462,843.72 = 108,816.96 : x
  2. Step 2: Convert to fraction form
    308,538/462,843.72 = 108,816.96/x
  3. Step 3: Cross multiply
    308,538x = 462,843.72 × 108,816.96
  4. Step 4: Simplify right side
    308,538x = 50,365,246,565.49
  5. Step 5: Solve for x
    x = 50,365,246,565.49/308,538
  6. Step 6: Final answer
    x = 163,238.39

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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.