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Finding the Fourth Proportional to 419,115.59, 628,679.15 and 119,596.07

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Solution

The fourth proportional to 419,115.59, 628,679.15 and 119,596.07 is: 179,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.59 : 628,679.15 = 119,596.07 : x
  2. Step 2: Convert to fraction form
    419,115.59/628,679.15 = 119,596.07/x
  3. Step 3: Cross multiply
    419,115.59x = 628,679.15 × 119,596.07
  4. Step 4: Simplify right side
    419,115.59x = 75,187,556,604.66
  5. Step 5: Solve for x
    x = 75,187,556,604.66/419,115.59
  6. Step 6: Final answer
    x = 179,395.75

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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.