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Finding the Fourth Proportional to 320,992.92, 442,964.34 and 177,752.52

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Solution

The fourth proportional to 320,992.92, 442,964.34 and 177,752.52 is: 245,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,992.92 : 442,964.34 = 177,752.52 : x
  2. Step 2: Convert to fraction form
    320,992.92/442,964.34 = 177,752.52/x
  3. Step 3: Cross multiply
    320,992.92x = 442,964.34 × 177,752.52
  4. Step 4: Simplify right side
    320,992.92x = 78,738,027,705.14
  5. Step 5: Solve for x
    x = 78,738,027,705.14/320,992.92
  6. Step 6: Final answer
    x = 245,295.22

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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.