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Finding the Fourth Proportional to 431,914.52, 647,367.36 and 324,954.88

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Solution

The fourth proportional to 431,914.52, 647,367.36 and 324,954.88 is: 487,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,914.52 : 647,367.36 = 324,954.88 : x
  2. Step 2: Convert to fraction form
    431,914.52/647,367.36 = 324,954.88/x
  3. Step 3: Cross multiply
    431,914.52x = 647,367.36 × 324,954.88
  4. Step 4: Simplify right side
    431,914.52x = 210,365,182,784.72
  5. Step 5: Solve for x
    x = 210,365,182,784.72/431,914.52
  6. Step 6: Final answer
    x = 487,052.81

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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.