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Finding the Fourth Proportional to 647,449.80, 971,285.70 and 198,159.54

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Solution

The fourth proportional to 647,449.80, 971,285.70 and 198,159.54 is: 297,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,449.80 : 971,285.70 = 198,159.54 : x
  2. Step 2: Convert to fraction form
    647,449.80/971,285.70 = 198,159.54/x
  3. Step 3: Cross multiply
    647,449.80x = 971,285.70 × 198,159.54
  4. Step 4: Simplify right side
    647,449.80x = 192,469,527,520.58
  5. Step 5: Solve for x
    x = 192,469,527,520.58/647,449.80
  6. Step 6: Final answer
    x = 297,273.28

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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.