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Finding the Fourth Proportional to 321,357.36, 443,472 and 178,116

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Solution

The fourth proportional to 321,357.36, 443,472 and 178,116 is: 245,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,357.36 : 443,472 = 178,116 : x
  2. Step 2: Convert to fraction form
    321,357.36/443,472 = 178,116/x
  3. Step 3: Cross multiply
    321,357.36x = 443,472 × 178,116
  4. Step 4: Simplify right side
    321,357.36x = 78,989,458,752
  5. Step 5: Solve for x
    x = 78,989,458,752/321,357.36
  6. Step 6: Final answer
    x = 245,799.44

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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.