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Finding the Fourth Proportional to 647,776.22, 971,629.31 and 198,498.39

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Solution

The fourth proportional to 647,776.22, 971,629.31 and 198,498.39 is: 297,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,776.22 : 971,629.31 = 198,498.39 : x
  2. Step 2: Convert to fraction form
    647,776.22/971,629.31 = 198,498.39/x
  3. Step 3: Cross multiply
    647,776.22x = 971,629.31 × 198,498.39
  4. Step 4: Simplify right side
    647,776.22x = 192,866,853,267.82
  5. Step 5: Solve for x
    x = 192,866,853,267.82/647,776.22
  6. Step 6: Final answer
    x = 297,736.85

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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.