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Finding the Fourth Proportional to 422,611.56, 633,991.15 and 185,948.09

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Solution

The fourth proportional to 422,611.56, 633,991.15 and 185,948.09 is: 278,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,611.56 : 633,991.15 = 185,948.09 : x
  2. Step 2: Convert to fraction form
    422,611.56/633,991.15 = 185,948.09/x
  3. Step 3: Cross multiply
    422,611.56x = 633,991.15 × 185,948.09
  4. Step 4: Simplify right side
    422,611.56x = 117,889,442,859.35
  5. Step 5: Solve for x
    x = 117,889,442,859.35/422,611.56
  6. Step 6: Final answer
    x = 278,954.61

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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.