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Finding the Fourth Proportional to 321,713.30, 443,964.87 and 178,473.34

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Solution

The fourth proportional to 321,713.30, 443,964.87 and 178,473.34 is: 246,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,713.30 : 443,964.87 = 178,473.34 : x
  2. Step 2: Convert to fraction form
    321,713.30/443,964.87 = 178,473.34/x
  3. Step 3: Cross multiply
    321,713.30x = 443,964.87 × 178,473.34
  4. Step 4: Simplify right side
    321,713.30x = 79,235,892,081.65
  5. Step 5: Solve for x
    x = 79,235,892,081.65/321,713.30
  6. Step 6: Final answer
    x = 246,293.50

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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.