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Finding the Fourth Proportional to 419,371.80, 629,057.71 and 103,828.71

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Solution

The fourth proportional to 419,371.80, 629,057.71 and 103,828.71 is: 155,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,371.80 : 629,057.71 = 103,828.71 : x
  2. Step 2: Convert to fraction form
    419,371.80/629,057.71 = 103,828.71/x
  3. Step 3: Cross multiply
    419,371.80x = 629,057.71 × 103,828.71
  4. Step 4: Simplify right side
    419,371.80x = 65,314,250,826.35
  5. Step 5: Solve for x
    x = 65,314,250,826.35/419,371.80
  6. Step 6: Final answer
    x = 155,743.07

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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.