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Finding the Fourth Proportional to 323,190, 445,993.20 and 179,949.96

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Solution

The fourth proportional to 323,190, 445,993.20 and 179,949.96 is: 248,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,190 : 445,993.20 = 179,949.96 : x
  2. Step 2: Convert to fraction form
    323,190/445,993.20 = 179,949.96/x
  3. Step 3: Cross multiply
    323,190x = 445,993.20 × 179,949.96
  4. Step 4: Simplify right side
    323,190x = 80,256,458,500.27
  5. Step 5: Solve for x
    x = 80,256,458,500.27/323,190
  6. Step 6: Final answer
    x = 248,325.93

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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.