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Finding the Fourth Proportional to 321,686.76, 443,637.06 and 200,839.08

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Solution

The fourth proportional to 321,686.76, 443,637.06 and 200,839.08 is: 276,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,686.76 : 443,637.06 = 200,839.08 : x
  2. Step 2: Convert to fraction form
    321,686.76/443,637.06 = 200,839.08/x
  3. Step 3: Cross multiply
    321,686.76x = 443,637.06 × 200,839.08
  4. Step 4: Simplify right side
    321,686.76x = 89,099,658,984.30
  5. Step 5: Solve for x
    x = 89,099,658,984.30/321,686.76
  6. Step 6: Final answer
    x = 276,976.46

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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.