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Finding the Fourth Proportional to 321,712.98, 443,964.44 and 178,473.03

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Solution

The fourth proportional to 321,712.98, 443,964.44 and 178,473.03 is: 246,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,712.98 : 443,964.44 = 178,473.03 : x
  2. Step 2: Convert to fraction form
    321,712.98/443,964.44 = 178,473.03/x
  3. Step 3: Cross multiply
    321,712.98x = 443,964.44 × 178,473.03
  4. Step 4: Simplify right side
    321,712.98x = 79,235,677,709.14
  5. Step 5: Solve for x
    x = 79,235,677,709.14/321,712.98
  6. Step 6: Final answer
    x = 246,293.07

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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.