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Finding the Fourth Proportional to 320,481.44, 442,262.40 and 177,238.88

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Solution

The fourth proportional to 320,481.44, 442,262.40 and 177,238.88 is: 244,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,481.44 : 442,262.40 = 177,238.88 : x
  2. Step 2: Convert to fraction form
    320,481.44/442,262.40 = 177,238.88/x
  3. Step 3: Cross multiply
    320,481.44x = 442,262.40 × 177,238.88
  4. Step 4: Simplify right side
    320,481.44x = 78,386,092,442.11
  5. Step 5: Solve for x
    x = 78,386,092,442.11/320,481.44
  6. Step 6: Final answer
    x = 244,588.56

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1.5x scale

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.