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Finding the Fourth Proportional to 320,978.44, 442,949.96 and 177,738.48

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Solution

The fourth proportional to 320,978.44, 442,949.96 and 177,738.48 is: 245,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.44 : 442,949.96 = 177,738.48 : x
  2. Step 2: Convert to fraction form
    320,978.44/442,949.96 = 177,738.48/x
  3. Step 3: Cross multiply
    320,978.44x = 442,949.96 × 177,738.48
  4. Step 4: Simplify right side
    320,978.44x = 78,729,252,606.46
  5. Step 5: Solve for x
    x = 78,729,252,606.46/320,978.44
  6. Step 6: Final answer
    x = 245,278.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.