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Finding the Fourth Proportional to 321,681.76, 443,630.16 and 200,834.08

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Solution

The fourth proportional to 321,681.76, 443,630.16 and 200,834.08 is: 276,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,681.76 : 443,630.16 = 200,834.08 : x
  2. Step 2: Convert to fraction form
    321,681.76/443,630.16 = 200,834.08/x
  3. Step 3: Cross multiply
    321,681.76x = 443,630.16 × 200,834.08
  4. Step 4: Simplify right side
    321,681.76x = 89,096,055,043.85
  5. Step 5: Solve for x
    x = 89,096,055,043.85/321,681.76
  6. Step 6: Final answer
    x = 276,969.56

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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.