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Finding the Fourth Proportional to 647,354.21, 971,034.38 and 198,074.36

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Solution

The fourth proportional to 647,354.21, 971,034.38 and 198,074.36 is: 297,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,354.21 : 971,034.38 = 198,074.36 : x
  2. Step 2: Convert to fraction form
    647,354.21/971,034.38 = 198,074.36/x
  3. Step 3: Cross multiply
    647,354.21x = 971,034.38 × 198,074.36
  4. Step 4: Simplify right side
    647,354.21x = 192,337,015,536.49
  5. Step 5: Solve for x
    x = 192,337,015,536.49/647,354.21
  6. Step 6: Final answer
    x = 297,112.48

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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.