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Finding the Fourth Proportional to 419,596.88, 629,390.57 and 251,164.26

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Solution

The fourth proportional to 419,596.88, 629,390.57 and 251,164.26 is: 376,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,596.88 : 629,390.57 = 251,164.26 : x
  2. Step 2: Convert to fraction form
    419,596.88/629,390.57 = 251,164.26/x
  3. Step 3: Cross multiply
    419,596.88x = 629,390.57 × 251,164.26
  4. Step 4: Simplify right side
    419,596.88x = 158,080,415,509.21
  5. Step 5: Solve for x
    x = 158,080,415,509.21/419,596.88
  6. Step 6: Final answer
    x = 376,743.55

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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.