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Finding the Fourth Proportional to 320,978.96, 442,950.92 and 177,739

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Solution

The fourth proportional to 320,978.96, 442,950.92 and 177,739 is: 245,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,978.96 : 442,950.92 = 177,739 : x
  2. Step 2: Convert to fraction form
    320,978.96/442,950.92 = 177,739/x
  3. Step 3: Cross multiply
    320,978.96x = 442,950.92 × 177,739
  4. Step 4: Simplify right side
    320,978.96x = 78,729,653,569.88
  5. Step 5: Solve for x
    x = 78,729,653,569.88/320,978.96
  6. Step 6: Final answer
    x = 245,279.80

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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.