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Finding the Fourth Proportional to 281,681.70, 422,591.80 and 82,003.84

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Solution

The fourth proportional to 281,681.70, 422,591.80 and 82,003.84 is: 123,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,681.70 : 422,591.80 = 82,003.84 : x
  2. Step 2: Convert to fraction form
    281,681.70/422,591.80 = 82,003.84/x
  3. Step 3: Cross multiply
    281,681.70x = 422,591.80 × 82,003.84
  4. Step 4: Simplify right side
    281,681.70x = 34,654,150,352.51
  5. Step 5: Solve for x
    x = 34,654,150,352.51/281,681.70
  6. Step 6: Final answer
    x = 123,025.92

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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.