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Finding the Fourth Proportional to 431,531.52, 647,573.76 and 209,794.56

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Solution

The fourth proportional to 431,531.52, 647,573.76 and 209,794.56 is: 314,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,531.52 : 647,573.76 = 209,794.56 : x
  2. Step 2: Convert to fraction form
    431,531.52/647,573.76 = 209,794.56/x
  3. Step 3: Cross multiply
    431,531.52x = 647,573.76 × 209,794.56
  4. Step 4: Simplify right side
    431,531.52x = 135,857,452,046.75
  5. Step 5: Solve for x
    x = 135,857,452,046.75/431,531.52
  6. Step 6: Final answer
    x = 314,826.25

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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.