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Finding the Fourth Proportional to 321,714.30, 443,966.25 and 178,474.34

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Solution

The fourth proportional to 321,714.30, 443,966.25 and 178,474.34 is: 246,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,714.30 : 443,966.25 = 178,474.34 : x
  2. Step 2: Convert to fraction form
    321,714.30/443,966.25 = 178,474.34/x
  3. Step 3: Cross multiply
    321,714.30x = 443,966.25 × 178,474.34
  4. Step 4: Simplify right side
    321,714.30x = 79,236,583,451.03
  5. Step 5: Solve for x
    x = 79,236,583,451.03/321,714.30
  6. Step 6: Final answer
    x = 246,294.88

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1.5x scale

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.