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Finding the Fourth Proportional to 281,912.40, 422,884.80 and 82,263.60

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Solution

The fourth proportional to 281,912.40, 422,884.80 and 82,263.60 is: 123,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,912.40 : 422,884.80 = 82,263.60 : x
  2. Step 2: Convert to fraction form
    281,912.40/422,884.80 = 82,263.60/x
  3. Step 3: Cross multiply
    281,912.40x = 422,884.80 × 82,263.60
  4. Step 4: Simplify right side
    281,912.40x = 34,788,026,033.28
  5. Step 5: Solve for x
    x = 34,788,026,033.28/281,912.40
  6. Step 6: Final answer
    x = 123,400.13

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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.