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Finding the Fourth Proportional to 431,426.62, 647,283.45 and 191,507.25

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Solution

The fourth proportional to 431,426.62, 647,283.45 and 191,507.25 is: 287,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,426.62 : 647,283.45 = 191,507.25 : x
  2. Step 2: Convert to fraction form
    431,426.62/647,283.45 = 191,507.25/x
  3. Step 3: Cross multiply
    431,426.62x = 647,283.45 × 191,507.25
  4. Step 4: Simplify right side
    431,426.62x = 123,959,476,625.48
  5. Step 5: Solve for x
    x = 123,959,476,625.48/431,426.62
  6. Step 6: Final answer
    x = 287,324.59

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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.