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Finding the Fourth Proportional to 431,694.20, 647,541.30 and 419,406.20

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Solution

The fourth proportional to 431,694.20, 647,541.30 and 419,406.20 is: 629,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,694.20 : 647,541.30 = 419,406.20 : x
  2. Step 2: Convert to fraction form
    431,694.20/647,541.30 = 419,406.20/x
  3. Step 3: Cross multiply
    431,694.20x = 647,541.30 × 419,406.20
  4. Step 4: Simplify right side
    431,694.20x = 271,582,835,976.06
  5. Step 5: Solve for x
    x = 271,582,835,976.06/431,694.20
  6. Step 6: Final answer
    x = 629,109.30

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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.