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Finding the Fourth Proportional to 422,908.74, 634,436.01 and 223,396.02

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Solution

The fourth proportional to 422,908.74, 634,436.01 and 223,396.02 is: 335,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908.74 : 634,436.01 = 223,396.02 : x
  2. Step 2: Convert to fraction form
    422,908.74/634,436.01 = 223,396.02/x
  3. Step 3: Cross multiply
    422,908.74x = 634,436.01 × 223,396.02
  4. Step 4: Simplify right side
    422,908.74x = 141,730,479,578.68
  5. Step 5: Solve for x
    x = 141,730,479,578.68/422,908.74
  6. Step 6: Final answer
    x = 335,132.54

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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.