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Finding the Fourth Proportional to 308,623.86, 462,972.78 and 108,903

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Solution

The fourth proportional to 308,623.86, 462,972.78 and 108,903 is: 163,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,623.86 : 462,972.78 = 108,903 : x
  2. Step 2: Convert to fraction form
    308,623.86/462,972.78 = 108,903/x
  3. Step 3: Cross multiply
    308,623.86x = 462,972.78 × 108,903
  4. Step 4: Simplify right side
    308,623.86x = 50,419,124,660.34
  5. Step 5: Solve for x
    x = 50,419,124,660.34/308,623.86
  6. Step 6: Final answer
    x = 163,367.55

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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.