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Finding the Fourth Proportional to 454,573.20, 681,859.72 and 431,843.59

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Solution

The fourth proportional to 454,573.20, 681,859.72 and 431,843.59 is: 647,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,573.20 : 681,859.72 = 431,843.59 : x
  2. Step 2: Convert to fraction form
    454,573.20/681,859.72 = 431,843.59/x
  3. Step 3: Cross multiply
    454,573.20x = 681,859.72 × 431,843.59
  4. Step 4: Simplify right side
    454,573.20x = 294,456,749,361.20
  5. Step 5: Solve for x
    x = 294,456,749,361.20/454,573.20
  6. Step 6: Final answer
    x = 647,765.31

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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.