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Finding the Fourth Proportional to 647,401.28, 971,244.16 and 198,156.78

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Solution

The fourth proportional to 647,401.28, 971,244.16 and 198,156.78 is: 297,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,401.28 : 971,244.16 = 198,156.78 : x
  2. Step 2: Convert to fraction form
    647,401.28/971,244.16 = 198,156.78/x
  3. Step 3: Cross multiply
    647,401.28x = 971,244.16 × 198,156.78
  4. Step 4: Simplify right side
    647,401.28x = 192,458,614,844.01
  5. Step 5: Solve for x
    x = 192,458,614,844.01/647,401.28
  6. Step 6: Final answer
    x = 297,278.71

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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.