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Finding the Fourth Proportional to 419,928.39, 629,763.39 and 120,328.65

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Solution

The fourth proportional to 419,928.39, 629,763.39 and 120,328.65 is: 180,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,928.39 : 629,763.39 = 120,328.65 : x
  2. Step 2: Convert to fraction form
    419,928.39/629,763.39 = 120,328.65/x
  3. Step 3: Cross multiply
    419,928.39x = 629,763.39 × 120,328.65
  4. Step 4: Simplify right side
    419,928.39x = 75,778,578,538.12
  5. Step 5: Solve for x
    x = 75,778,578,538.12/419,928.39
  6. Step 6: Final answer
    x = 180,455.95

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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.