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Finding the Fourth Proportional to 321,262.08, 443,351.36 and 178,008.64

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Solution

The fourth proportional to 321,262.08, 443,351.36 and 178,008.64 is: 245,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,262.08 : 443,351.36 = 178,008.64 : x
  2. Step 2: Convert to fraction form
    321,262.08/443,351.36 = 178,008.64/x
  3. Step 3: Cross multiply
    321,262.08x = 443,351.36 × 178,008.64
  4. Step 4: Simplify right side
    321,262.08x = 78,920,372,635.75
  5. Step 5: Solve for x
    x = 78,920,372,635.75/321,262.08
  6. Step 6: Final answer
    x = 245,657.29

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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.