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Finding the Fourth Proportional to 643,993.50, 965,990.25 and 200,761.50

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Solution

The fourth proportional to 643,993.50, 965,990.25 and 200,761.50 is: 301,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,993.50 : 965,990.25 = 200,761.50 : x
  2. Step 2: Convert to fraction form
    643,993.50/965,990.25 = 200,761.50/x
  3. Step 3: Cross multiply
    643,993.50x = 965,990.25 × 200,761.50
  4. Step 4: Simplify right side
    643,993.50x = 193,933,651,575.38
  5. Step 5: Solve for x
    x = 193,933,651,575.38/643,993.50
  6. Step 6: Final answer
    x = 301,142.25

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Similar ratio
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1.5x scale

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.