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Finding the Fourth Proportional to 321,583.32, 443,988.27 and 206,915.28

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Solution

The fourth proportional to 321,583.32, 443,988.27 and 206,915.28 is: 285,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,583.32 : 443,988.27 = 206,915.28 : x
  2. Step 2: Convert to fraction form
    321,583.32/443,988.27 = 206,915.28/x
  3. Step 3: Cross multiply
    321,583.32x = 443,988.27 × 206,915.28
  4. Step 4: Simplify right side
    321,583.32x = 91,867,957,203.77
  5. Step 5: Solve for x
    x = 91,867,957,203.77/321,583.32
  6. Step 6: Final answer
    x = 285,673.89

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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.