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Finding the Fourth Proportional to 491,785.87, 737,241.17 and 192,198.32

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Solution

The fourth proportional to 491,785.87, 737,241.17 and 192,198.32 is: 288,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,785.87 : 737,241.17 = 192,198.32 : x
  2. Step 2: Convert to fraction form
    491,785.87/737,241.17 = 192,198.32/x
  3. Step 3: Cross multiply
    491,785.87x = 737,241.17 × 192,198.32
  4. Step 4: Simplify right side
    491,785.87x = 141,696,515,190.95
  5. Step 5: Solve for x
    x = 141,696,515,190.95/491,785.87
  6. Step 6: Final answer
    x = 288,126.45

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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.