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Finding the Fourth Proportional to 321,920.46, 444,255.80 and 176,739.75

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Solution

The fourth proportional to 321,920.46, 444,255.80 and 176,739.75 is: 243,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,920.46 : 444,255.80 = 176,739.75 : x
  2. Step 2: Convert to fraction form
    321,920.46/444,255.80 = 176,739.75/x
  3. Step 3: Cross multiply
    321,920.46x = 444,255.80 × 176,739.75
  4. Step 4: Simplify right side
    321,920.46x = 78,517,658,144.35
  5. Step 5: Solve for x
    x = 78,517,658,144.35/321,920.46
  6. Step 6: Final answer
    x = 243,903.91

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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.