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Finding the Fourth Proportional to 321,262.20, 443,345.58 and 178,023.96

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Solution

The fourth proportional to 321,262.20, 443,345.58 and 178,023.96 is: 245,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,262.20 : 443,345.58 = 178,023.96 : x
  2. Step 2: Convert to fraction form
    321,262.20/443,345.58 = 178,023.96/x
  3. Step 3: Cross multiply
    321,262.20x = 443,345.58 × 178,023.96
  4. Step 4: Simplify right side
    321,262.20x = 78,926,135,800.10
  5. Step 5: Solve for x
    x = 78,926,135,800.10/321,262.20
  6. Step 6: Final answer
    x = 245,675.14

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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.