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Finding the Fourth Proportional to 422,739.60, 634,109.40 and 142,227.60

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Solution

The fourth proportional to 422,739.60, 634,109.40 and 142,227.60 is: 213,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,739.60 : 634,109.40 = 142,227.60 : x
  2. Step 2: Convert to fraction form
    422,739.60/634,109.40 = 142,227.60/x
  3. Step 3: Cross multiply
    422,739.60x = 634,109.40 × 142,227.60
  4. Step 4: Simplify right side
    422,739.60x = 90,187,858,099.44
  5. Step 5: Solve for x
    x = 90,187,858,099.44/422,739.60
  6. Step 6: Final answer
    x = 213,341.40

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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.