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Finding the Fourth Proportional to 422,991, 634,503.78 and 107,456.04

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Solution

The fourth proportional to 422,991, 634,503.78 and 107,456.04 is: 161,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,991 : 634,503.78 = 107,456.04 : x
  2. Step 2: Convert to fraction form
    422,991/634,503.78 = 107,456.04/x
  3. Step 3: Cross multiply
    422,991x = 634,503.78 × 107,456.04
  4. Step 4: Simplify right side
    422,991x = 68,181,263,563.83
  5. Step 5: Solve for x
    x = 68,181,263,563.83/422,991
  6. Step 6: Final answer
    x = 161,188.45

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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.