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Finding the Fourth Proportional to 419,115.83, 628,679.52 and 119,596.32

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Solution

The fourth proportional to 419,115.83, 628,679.52 and 119,596.32 is: 179,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.83 : 628,679.52 = 119,596.32 : x
  2. Step 2: Convert to fraction form
    419,115.83/628,679.52 = 119,596.32/x
  3. Step 3: Cross multiply
    419,115.83x = 628,679.52 × 119,596.32
  4. Step 4: Simplify right side
    419,115.83x = 75,187,757,051.37
  5. Step 5: Solve for x
    x = 75,187,757,051.37/419,115.83
  6. Step 6: Final answer
    x = 179,396.13

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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.