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Finding the Fourth Proportional to 647,244.32, 970,772.85 and 197,844.53

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Solution

The fourth proportional to 647,244.32, 970,772.85 and 197,844.53 is: 296,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,244.32 : 970,772.85 = 197,844.53 : x
  2. Step 2: Convert to fraction form
    647,244.32/970,772.85 = 197,844.53/x
  3. Step 3: Cross multiply
    647,244.32x = 970,772.85 × 197,844.53
  4. Step 4: Simplify right side
    647,244.32x = 192,062,093,391.15
  5. Step 5: Solve for x
    x = 192,062,093,391.15/647,244.32
  6. Step 6: Final answer
    x = 296,738.17

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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.