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Finding the Fourth Proportional to 646,135.82, 969,348.28 and 196,891.85

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Solution

The fourth proportional to 646,135.82, 969,348.28 and 196,891.85 is: 295,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,135.82 : 969,348.28 = 196,891.85 : x
  2. Step 2: Convert to fraction form
    646,135.82/969,348.28 = 196,891.85/x
  3. Step 3: Cross multiply
    646,135.82x = 969,348.28 × 196,891.85
  4. Step 4: Simplify right side
    646,135.82x = 190,856,777,496.01
  5. Step 5: Solve for x
    x = 190,856,777,496.01/646,135.82
  6. Step 6: Final answer
    x = 295,381.82

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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.