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Finding the Fourth Proportional to 419,632.26, 629,000.21 and 239,329.52

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Solution

The fourth proportional to 419,632.26, 629,000.21 and 239,329.52 is: 358,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,632.26 : 629,000.21 = 239,329.52 : x
  2. Step 2: Convert to fraction form
    419,632.26/629,000.21 = 239,329.52/x
  3. Step 3: Cross multiply
    419,632.26x = 629,000.21 × 239,329.52
  4. Step 4: Simplify right side
    419,632.26x = 150,538,313,997.55
  5. Step 5: Solve for x
    x = 150,538,313,997.55/419,632.26
  6. Step 6: Final answer
    x = 358,738.66

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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.