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Finding the Fourth Proportional to 321,369, 443,304.54 and 200,452.20

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Solution

The fourth proportional to 321,369, 443,304.54 and 200,452.20 is: 276,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,369 : 443,304.54 = 200,452.20 : x
  2. Step 2: Convert to fraction form
    321,369/443,304.54 = 200,452.20/x
  3. Step 3: Cross multiply
    321,369x = 443,304.54 × 200,452.20
  4. Step 4: Simplify right side
    321,369x = 88,861,370,312.99
  5. Step 5: Solve for x
    x = 88,861,370,312.99/321,369
  6. Step 6: Final answer
    x = 276,508.84

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1.5x scale

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.