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Finding the Fourth Proportional to 419,694.96, 629,309.16 and 170,085.36

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Solution

The fourth proportional to 419,694.96, 629,309.16 and 170,085.36 is: 255,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,694.96 : 629,309.16 = 170,085.36 : x
  2. Step 2: Convert to fraction form
    419,694.96/629,309.16 = 170,085.36/x
  3. Step 3: Cross multiply
    419,694.96x = 629,309.16 × 170,085.36
  4. Step 4: Simplify right side
    419,694.96x = 107,036,275,029.90
  5. Step 5: Solve for x
    x = 107,036,275,029.90/419,694.96
  6. Step 6: Final answer
    x = 255,033.50

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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.