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Finding the Fourth Proportional to 281,605.20, 422,407.80 and 262,942.80

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Solution

The fourth proportional to 281,605.20, 422,407.80 and 262,942.80 is: 394,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,605.20 : 422,407.80 = 262,942.80 : x
  2. Step 2: Convert to fraction form
    281,605.20/422,407.80 = 262,942.80/x
  3. Step 3: Cross multiply
    281,605.20x = 422,407.80 × 262,942.80
  4. Step 4: Simplify right side
    281,605.20x = 111,069,089,673.84
  5. Step 5: Solve for x
    x = 111,069,089,673.84/281,605.20
  6. Step 6: Final answer
    x = 394,414.20

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1.5x scale

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.