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Finding the Fourth Proportional to 647,759.31, 971,603.95 and 198,481.51

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Solution

The fourth proportional to 647,759.31, 971,603.95 and 198,481.51 is: 297,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,759.31 : 971,603.95 = 198,481.51 : x
  2. Step 2: Convert to fraction form
    647,759.31/971,603.95 = 198,481.51/x
  3. Step 3: Cross multiply
    647,759.31x = 971,603.95 × 198,481.51
  4. Step 4: Simplify right side
    647,759.31x = 192,845,414,259.95
  5. Step 5: Solve for x
    x = 192,845,414,259.95/647,759.31
  6. Step 6: Final answer
    x = 297,711.53

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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.