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Finding the Fourth Proportional to 422,976.44, 634,504.82 and 153,172.73

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Solution

The fourth proportional to 422,976.44, 634,504.82 and 153,172.73 is: 229,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,976.44 : 634,504.82 = 153,172.73 : x
  2. Step 2: Convert to fraction form
    422,976.44/634,504.82 = 153,172.73/x
  3. Step 3: Cross multiply
    422,976.44x = 634,504.82 × 153,172.73
  4. Step 4: Simplify right side
    422,976.44x = 97,188,834,711.70
  5. Step 5: Solve for x
    x = 97,188,834,711.70/422,976.44
  6. Step 6: Final answer
    x = 229,773.64

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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.