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Finding the Fourth Proportional to 321,517.79, 443,714.50 and 178,277.84

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Solution

The fourth proportional to 321,517.79, 443,714.50 and 178,277.84 is: 246,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,517.79 : 443,714.50 = 178,277.84 : x
  2. Step 2: Convert to fraction form
    321,517.79/443,714.50 = 178,277.84/x
  3. Step 3: Cross multiply
    321,517.79x = 443,714.50 × 178,277.84
  4. Step 4: Simplify right side
    321,517.79x = 79,104,459,972.41
  5. Step 5: Solve for x
    x = 79,104,459,972.41/321,517.79
  6. Step 6: Final answer
    x = 246,034.47

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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.