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Finding the Fourth Proportional to 422,677.44, 634,087.44 and 142,128

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Solution

The fourth proportional to 422,677.44, 634,087.44 and 142,128 is: 213,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,677.44 : 634,087.44 = 142,128 : x
  2. Step 2: Convert to fraction form
    422,677.44/634,087.44 = 142,128/x
  3. Step 3: Cross multiply
    422,677.44x = 634,087.44 × 142,128
  4. Step 4: Simplify right side
    422,677.44x = 90,121,579,672.32
  5. Step 5: Solve for x
    x = 90,121,579,672.32/422,677.44
  6. Step 6: Final answer
    x = 213,215.97

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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.