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Finding the Fourth Proportional to 647,942.80, 971,568.60 and 273,542.80

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Solution

The fourth proportional to 647,942.80, 971,568.60 and 273,542.80 is: 410,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,942.80 : 971,568.60 = 273,542.80 : x
  2. Step 2: Convert to fraction form
    647,942.80/971,568.60 = 273,542.80/x
  3. Step 3: Cross multiply
    647,942.80x = 971,568.60 × 273,542.80
  4. Step 4: Simplify right side
    647,942.80x = 265,765,595,236.08
  5. Step 5: Solve for x
    x = 265,765,595,236.08/647,942.80
  6. Step 6: Final answer
    x = 410,168.30

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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.