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Finding the Fourth Proportional to 281,684.96, 422,528.40 and 71,322.80

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Solution

The fourth proportional to 281,684.96, 422,528.40 and 71,322.80 is: 106,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,684.96 : 422,528.40 = 71,322.80 : x
  2. Step 2: Convert to fraction form
    281,684.96/422,528.40 = 71,322.80/x
  3. Step 3: Cross multiply
    281,684.96x = 422,528.40 × 71,322.80
  4. Step 4: Simplify right side
    281,684.96x = 30,135,908,567.52
  5. Step 5: Solve for x
    x = 30,135,908,567.52/281,684.96
  6. Step 6: Final answer
    x = 106,984.44

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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.