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Finding the Fourth Proportional to 419,286.04, 628,934.52 and 119,776.39

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Solution

The fourth proportional to 419,286.04, 628,934.52 and 119,776.39 is: 179,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,286.04 : 628,934.52 = 119,776.39 : x
  2. Step 2: Convert to fraction form
    419,286.04/628,934.52 = 119,776.39/x
  3. Step 3: Cross multiply
    419,286.04x = 628,934.52 × 119,776.39
  4. Step 4: Simplify right side
    419,286.04x = 75,331,505,228.81
  5. Step 5: Solve for x
    x = 75,331,505,228.81/419,286.04
  6. Step 6: Final answer
    x = 179,666.14

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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.