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Finding the Fourth Proportional to 281,973.80, 422,979.90 and 82,293.80

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Solution

The fourth proportional to 281,973.80, 422,979.90 and 82,293.80 is: 123,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,973.80 : 422,979.90 = 82,293.80 : x
  2. Step 2: Convert to fraction form
    281,973.80/422,979.90 = 82,293.80/x
  3. Step 3: Cross multiply
    281,973.80x = 422,979.90 × 82,293.80
  4. Step 4: Simplify right side
    281,973.80x = 34,808,623,294.62
  5. Step 5: Solve for x
    x = 34,808,623,294.62/281,973.80
  6. Step 6: Final answer
    x = 123,446.30

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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.