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Finding the Fourth Proportional to 422,211.88, 633,249.78 and 185,510.44

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Solution

The fourth proportional to 422,211.88, 633,249.78 and 185,510.44 is: 278,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,211.88 : 633,249.78 = 185,510.44 : x
  2. Step 2: Convert to fraction form
    422,211.88/633,249.78 = 185,510.44/x
  3. Step 3: Cross multiply
    422,211.88x = 633,249.78 × 185,510.44
  4. Step 4: Simplify right side
    422,211.88x = 117,474,445,317.70
  5. Step 5: Solve for x
    x = 117,474,445,317.70/422,211.88
  6. Step 6: Final answer
    x = 278,235.76

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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.