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Finding the Fourth Proportional to 320,721.91, 442,589.90 and 177,481.91

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Solution

The fourth proportional to 320,721.91, 442,589.90 and 177,481.91 is: 244,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,721.91 : 442,589.90 = 177,481.91 : x
  2. Step 2: Convert to fraction form
    320,721.91/442,589.90 = 177,481.91/x
  3. Step 3: Cross multiply
    320,721.91x = 442,589.90 × 177,481.91
  4. Step 4: Simplify right side
    320,721.91x = 78,551,700,798.71
  5. Step 5: Solve for x
    x = 78,551,700,798.71/320,721.91
  6. Step 6: Final answer
    x = 244,921.53

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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.