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Finding the Fourth Proportional to 320,978.24, 442,963.32 and 177,738.28

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Solution

The fourth proportional to 320,978.24, 442,963.32 and 177,738.28 is: 245,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.24 : 442,963.32 = 177,738.28 : x
  2. Step 2: Convert to fraction form
    320,978.24/442,963.32 = 177,738.28/x
  3. Step 3: Cross multiply
    320,978.24x = 442,963.32 × 177,738.28
  4. Step 4: Simplify right side
    320,978.24x = 78,731,540,817.30
  5. Step 5: Solve for x
    x = 78,731,540,817.30/320,978.24
  6. Step 6: Final answer
    x = 245,286.22

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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.