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Finding the Fourth Proportional to 281,970.80, 422,975.40 and 82,290.80

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Solution

The fourth proportional to 281,970.80, 422,975.40 and 82,290.80 is: 123,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970.80 : 422,975.40 = 82,290.80 : x
  2. Step 2: Convert to fraction form
    281,970.80/422,975.40 = 82,290.80/x
  3. Step 3: Cross multiply
    281,970.80x = 422,975.40 × 82,290.80
  4. Step 4: Simplify right side
    281,970.80x = 34,806,984,046.32
  5. Step 5: Solve for x
    x = 34,806,984,046.32/281,970.80
  6. Step 6: Final answer
    x = 123,441.80

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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.