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Finding the Fourth Proportional to 321,383.80, 443,541.45 and 178,171.53

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Solution

The fourth proportional to 321,383.80, 443,541.45 and 178,171.53 is: 245,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,383.80 : 443,541.45 = 178,171.53 : x
  2. Step 2: Convert to fraction form
    321,383.80/443,541.45 = 178,171.53/x
  3. Step 3: Cross multiply
    321,383.80x = 443,541.45 × 178,171.53
  4. Step 4: Simplify right side
    321,383.80x = 79,026,458,764.92
  5. Step 5: Solve for x
    x = 79,026,458,764.92/321,383.80
  6. Step 6: Final answer
    x = 245,894.34

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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.