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Finding the Fourth Proportional to 321,511.36, 443,691 and 178,277.44

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Solution

The fourth proportional to 321,511.36, 443,691 and 178,277.44 is: 246,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,511.36 : 443,691 = 178,277.44 : x
  2. Step 2: Convert to fraction form
    321,511.36/443,691 = 178,277.44/x
  3. Step 3: Cross multiply
    321,511.36x = 443,691 × 178,277.44
  4. Step 4: Simplify right side
    321,511.36x = 79,100,095,631.04
  5. Step 5: Solve for x
    x = 79,100,095,631.04/321,511.36
  6. Step 6: Final answer
    x = 246,025.82

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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.