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Finding the Fourth Proportional to 259,716.90, 389,611.80 and 82,205.40

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Solution

The fourth proportional to 259,716.90, 389,611.80 and 82,205.40 is: 123,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,716.90 : 389,611.80 = 82,205.40 : x
  2. Step 2: Convert to fraction form
    259,716.90/389,611.80 = 82,205.40/x
  3. Step 3: Cross multiply
    259,716.90x = 389,611.80 × 82,205.40
  4. Step 4: Simplify right side
    259,716.90x = 32,028,193,863.72
  5. Step 5: Solve for x
    x = 32,028,193,863.72/259,716.90
  6. Step 6: Final answer
    x = 123,319.64

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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.