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Finding the Fourth Proportional to 647,358.10, 970,996.46 and 198,043.27

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Solution

The fourth proportional to 647,358.10, 970,996.46 and 198,043.27 is: 297,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,358.10 : 970,996.46 = 198,043.27 : x
  2. Step 2: Convert to fraction form
    647,358.10/970,996.46 = 198,043.27/x
  3. Step 3: Cross multiply
    647,358.10x = 970,996.46 × 198,043.27
  4. Step 4: Simplify right side
    647,358.10x = 192,299,312,164.44
  5. Step 5: Solve for x
    x = 192,299,312,164.44/647,358.10
  6. Step 6: Final answer
    x = 297,052.46

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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.