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Finding the Fourth Proportional to 419,296.46, 628,950.15 and 119,786.81

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Solution

The fourth proportional to 419,296.46, 628,950.15 and 119,786.81 is: 179,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,296.46 : 628,950.15 = 119,786.81 : x
  2. Step 2: Convert to fraction form
    419,296.46/628,950.15 = 119,786.81/x
  3. Step 3: Cross multiply
    419,296.46x = 628,950.15 × 119,786.81
  4. Step 4: Simplify right side
    419,296.46x = 75,339,928,972.77
  5. Step 5: Solve for x
    x = 75,339,928,972.77/419,296.46
  6. Step 6: Final answer
    x = 179,681.77

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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.