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Finding the Fourth Proportional to 422,821.98, 632,988.81 and 282,231.90

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Solution

The fourth proportional to 422,821.98, 632,988.81 and 282,231.90 is: 422,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,821.98 : 632,988.81 = 282,231.90 : x
  2. Step 2: Convert to fraction form
    422,821.98/632,988.81 = 282,231.90/x
  3. Step 3: Cross multiply
    422,821.98x = 632,988.81 × 282,231.90
  4. Step 4: Simplify right side
    422,821.98x = 178,649,634,525.04
  5. Step 5: Solve for x
    x = 178,649,634,525.04/422,821.98
  6. Step 6: Final answer
    x = 422,517.38

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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.