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Finding the Fourth Proportional to 419,365.28, 629,068.61 and 119,889.65

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Solution

The fourth proportional to 419,365.28, 629,068.61 and 119,889.65 is: 179,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,365.28 : 629,068.61 = 119,889.65 : x
  2. Step 2: Convert to fraction form
    419,365.28/629,068.61 = 119,889.65/x
  3. Step 3: Cross multiply
    419,365.28x = 629,068.61 × 119,889.65
  4. Step 4: Simplify right side
    419,365.28x = 75,418,817,351.28
  5. Step 5: Solve for x
    x = 75,418,817,351.28/419,365.28
  6. Step 6: Final answer
    x = 179,840.39

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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.