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Finding the Fourth Proportional to 422,843.13, 634,167.60 and 252,113.13

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Solution

The fourth proportional to 422,843.13, 634,167.60 and 252,113.13 is: 378,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,843.13 : 634,167.60 = 252,113.13 : x
  2. Step 2: Convert to fraction form
    422,843.13/634,167.60 = 252,113.13/x
  3. Step 3: Cross multiply
    422,843.13x = 634,167.60 × 252,113.13
  4. Step 4: Simplify right side
    422,843.13x = 159,881,978,580.59
  5. Step 5: Solve for x
    x = 159,881,978,580.59/422,843.13
  6. Step 6: Final answer
    x = 378,111.80

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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.