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Finding the Fourth Proportional to 422,679.44, 634,090.44 and 142,130

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Solution

The fourth proportional to 422,679.44, 634,090.44 and 142,130 is: 213,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,679.44 : 634,090.44 = 142,130 : x
  2. Step 2: Convert to fraction form
    422,679.44/634,090.44 = 142,130/x
  3. Step 3: Cross multiply
    422,679.44x = 634,090.44 × 142,130
  4. Step 4: Simplify right side
    422,679.44x = 90,123,274,237.20
  5. Step 5: Solve for x
    x = 90,123,274,237.20/422,679.44
  6. Step 6: Final answer
    x = 213,218.97

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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.