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Finding the Fourth Proportional to 321,624.96, 443,552 and 200,777.46

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Solution

The fourth proportional to 321,624.96, 443,552 and 200,777.46 is: 276,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,624.96 : 443,552 = 200,777.46 : x
  2. Step 2: Convert to fraction form
    321,624.96/443,552 = 200,777.46/x
  3. Step 3: Cross multiply
    321,624.96x = 443,552 × 200,777.46
  4. Step 4: Simplify right side
    321,624.96x = 89,055,241,720.16
  5. Step 5: Solve for x
    x = 89,055,241,720.16/321,624.96
  6. Step 6: Final answer
    x = 276,891.58

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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.