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Finding the Fourth Proportional to 320,854.47, 481,754.79 and 178,976.94

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Solution

The fourth proportional to 320,854.47, 481,754.79 and 178,976.94 is: 268,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,854.47 : 481,754.79 = 178,976.94 : x
  2. Step 2: Convert to fraction form
    320,854.47/481,754.79 = 178,976.94/x
  3. Step 3: Cross multiply
    320,854.47x = 481,754.79 × 178,976.94
  4. Step 4: Simplify right side
    320,854.47x = 86,222,998,144.54
  5. Step 5: Solve for x
    x = 86,222,998,144.54/320,854.47
  6. Step 6: Final answer
    x = 268,729.30

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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.