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Finding the Fourth Proportional to 321,171.30, 443,215.53 and 177,931.44

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Solution

The fourth proportional to 321,171.30, 443,215.53 and 177,931.44 is: 245,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,171.30 : 443,215.53 = 177,931.44 : x
  2. Step 2: Convert to fraction form
    321,171.30/443,215.53 = 177,931.44/x
  3. Step 3: Cross multiply
    321,171.30x = 443,215.53 × 177,931.44
  4. Step 4: Simplify right side
    321,171.30x = 78,861,977,483.26
  5. Step 5: Solve for x
    x = 78,861,977,483.26/321,171.30
  6. Step 6: Final answer
    x = 245,544.91

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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.