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Finding the Fourth Proportional to 321,795.76, 444,078.15 and 178,578.85

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Solution

The fourth proportional to 321,795.76, 444,078.15 and 178,578.85 is: 246,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,795.76 : 444,078.15 = 178,578.85 : x
  2. Step 2: Convert to fraction form
    321,795.76/444,078.15 = 178,578.85/x
  3. Step 3: Cross multiply
    321,795.76x = 444,078.15 × 178,578.85
  4. Step 4: Simplify right side
    321,795.76x = 79,302,965,638.88
  5. Step 5: Solve for x
    x = 79,302,965,638.88/321,795.76
  6. Step 6: Final answer
    x = 246,438.81

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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.