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Finding the Fourth Proportional to 647,793.24, 971,661.78 and 221,367.12

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Solution

The fourth proportional to 647,793.24, 971,661.78 and 221,367.12 is: 332,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,793.24 : 971,661.78 = 221,367.12 : x
  2. Step 2: Convert to fraction form
    647,793.24/971,661.78 = 221,367.12/x
  3. Step 3: Cross multiply
    647,793.24x = 971,661.78 × 221,367.12
  4. Step 4: Simplify right side
    647,793.24x = 215,093,969,852.67
  5. Step 5: Solve for x
    x = 215,093,969,852.67/647,793.24
  6. Step 6: Final answer
    x = 332,041.08

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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.