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Finding the Fourth Proportional to 647,491.80, 971,310.60 and 198,209.10

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Solution

The fourth proportional to 647,491.80, 971,310.60 and 198,209.10 is: 297,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,491.80 : 971,310.60 = 198,209.10 : x
  2. Step 2: Convert to fraction form
    647,491.80/971,310.60 = 198,209.10/x
  3. Step 3: Cross multiply
    647,491.80x = 971,310.60 × 198,209.10
  4. Step 4: Simplify right side
    647,491.80x = 192,522,599,846.46
  5. Step 5: Solve for x
    x = 192,522,599,846.46/647,491.80
  6. Step 6: Final answer
    x = 297,335.97

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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.