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Finding the Fourth Proportional to 321,650.42, 443,586.93 and 200,802.86

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Solution

The fourth proportional to 321,650.42, 443,586.93 and 200,802.86 is: 276,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,650.42 : 443,586.93 = 200,802.86 : x
  2. Step 2: Convert to fraction form
    321,650.42/443,586.93 = 200,802.86/x
  3. Step 3: Cross multiply
    321,650.42x = 443,586.93 × 200,802.86
  4. Step 4: Simplify right side
    321,650.42x = 89,073,524,202.62
  5. Step 5: Solve for x
    x = 89,073,524,202.62/321,650.42
  6. Step 6: Final answer
    x = 276,926.50

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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.