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Finding the Fourth Proportional to 647,383.64, 971,674.34 and 327,760.07

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Solution

The fourth proportional to 647,383.64, 971,674.34 and 327,760.07 is: 491,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,383.64 : 971,674.34 = 327,760.07 : x
  2. Step 2: Convert to fraction form
    647,383.64/971,674.34 = 327,760.07/x
  3. Step 3: Cross multiply
    647,383.64x = 971,674.34 × 327,760.07
  4. Step 4: Simplify right side
    647,383.64x = 318,476,043,198.43
  5. Step 5: Solve for x
    x = 318,476,043,198.43/647,383.64
  6. Step 6: Final answer
    x = 491,943.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.