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Finding the Fourth Proportional to 422,729.48, 634,172.09 and 138,435.89

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Solution

The fourth proportional to 422,729.48, 634,172.09 and 138,435.89 is: 207,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,729.48 : 634,172.09 = 138,435.89 : x
  2. Step 2: Convert to fraction form
    422,729.48/634,172.09 = 138,435.89/x
  3. Step 3: Cross multiply
    422,729.48x = 634,172.09 × 138,435.89
  4. Step 4: Simplify right side
    422,729.48x = 87,792,173,829.27
  5. Step 5: Solve for x
    x = 87,792,173,829.27/422,729.48
  6. Step 6: Final answer
    x = 207,679.33

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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.