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Finding the Fourth Proportional to 320,610.80, 442,418.51 and 177,367.77

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Solution

The fourth proportional to 320,610.80, 442,418.51 and 177,367.77 is: 244,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,610.80 : 442,418.51 = 177,367.77 : x
  2. Step 2: Convert to fraction form
    320,610.80/442,418.51 = 177,367.77/x
  3. Step 3: Cross multiply
    320,610.80x = 442,418.51 × 177,367.77
  4. Step 4: Simplify right side
    320,610.80x = 78,470,784,968.84
  5. Step 5: Solve for x
    x = 78,470,784,968.84/320,610.80
  6. Step 6: Final answer
    x = 244,754.03

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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.