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Finding the Fourth Proportional to 422,804.09, 634,058.38 and 198,270.27

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Solution

The fourth proportional to 422,804.09, 634,058.38 and 198,270.27 is: 297,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,804.09 : 634,058.38 = 198,270.27 : x
  2. Step 2: Convert to fraction form
    422,804.09/634,058.38 = 198,270.27/x
  3. Step 3: Cross multiply
    422,804.09x = 634,058.38 × 198,270.27
  4. Step 4: Simplify right side
    422,804.09x = 125,714,926,198.36
  5. Step 5: Solve for x
    x = 125,714,926,198.36/422,804.09
  6. Step 6: Final answer
    x = 297,336.12

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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.