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Finding the Fourth Proportional to 281,378.88, 422,022.72 and 103,969.44

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Solution

The fourth proportional to 281,378.88, 422,022.72 and 103,969.44 is: 155,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.88 : 422,022.72 = 103,969.44 : x
  2. Step 2: Convert to fraction form
    281,378.88/422,022.72 = 103,969.44/x
  3. Step 3: Cross multiply
    281,378.88x = 422,022.72 × 103,969.44
  4. Step 4: Simplify right side
    281,378.88x = 43,877,465,865.68
  5. Step 5: Solve for x
    x = 43,877,465,865.68/281,378.88
  6. Step 6: Final answer
    x = 155,937.31

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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.