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Finding the Fourth Proportional to 321,642.86, 443,576.64 and 200,795.36

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Solution

The fourth proportional to 321,642.86, 443,576.64 and 200,795.36 is: 276,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,642.86 : 443,576.64 = 200,795.36 : x
  2. Step 2: Convert to fraction form
    321,642.86/443,576.64 = 200,795.36/x
  3. Step 3: Cross multiply
    321,642.86x = 443,576.64 × 200,795.36
  4. Step 4: Simplify right side
    321,642.86x = 89,068,131,116.39
  5. Step 5: Solve for x
    x = 89,068,131,116.39/321,642.86
  6. Step 6: Final answer
    x = 276,916.24

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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.