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Finding the Fourth Proportional to 422,753.74, 634,196.22 and 142,249.12

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Solution

The fourth proportional to 422,753.74, 634,196.22 and 142,249.12 is: 213,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,753.74 : 634,196.22 = 142,249.12 : x
  2. Step 2: Convert to fraction form
    422,753.74/634,196.22 = 142,249.12/x
  3. Step 3: Cross multiply
    422,753.74x = 634,196.22 × 142,249.12
  4. Step 4: Simplify right side
    422,753.74x = 90,213,854,202.33
  5. Step 5: Solve for x
    x = 90,213,854,202.33/422,753.74
  6. Step 6: Final answer
    x = 213,395.76

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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.