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Finding the Fourth Proportional to 419,659, 629,040.24 and 239,356.18

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Solution

The fourth proportional to 419,659, 629,040.24 and 239,356.18 is: 358,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,659 : 629,040.24 = 239,356.18 : x
  2. Step 2: Convert to fraction form
    419,659/629,040.24 = 239,356.18/x
  3. Step 3: Cross multiply
    419,659x = 629,040.24 × 239,356.18
  4. Step 4: Simplify right side
    419,659x = 150,564,668,912.68
  5. Step 5: Solve for x
    x = 150,564,668,912.68/419,659
  6. Step 6: Final answer
    x = 358,778.60

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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.