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Finding the Fourth Proportional to 321,670.26, 443,958.10 and 178,476.44

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Solution

The fourth proportional to 321,670.26, 443,958.10 and 178,476.44 is: 246,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,670.26 : 443,958.10 = 178,476.44 : x
  2. Step 2: Convert to fraction form
    321,670.26/443,958.10 = 178,476.44/x
  3. Step 3: Cross multiply
    321,670.26x = 443,958.10 × 178,476.44
  4. Step 4: Simplify right side
    321,670.26x = 79,236,059,200.47
  5. Step 5: Solve for x
    x = 79,236,059,200.47/321,670.26
  6. Step 6: Final answer
    x = 246,326.97

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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.