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Finding the Fourth Proportional to 419,338.50, 629,012.61 and 103,798.14

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Solution

The fourth proportional to 419,338.50, 629,012.61 and 103,798.14 is: 155,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,338.50 : 629,012.61 = 103,798.14 : x
  2. Step 2: Convert to fraction form
    419,338.50/629,012.61 = 103,798.14/x
  3. Step 3: Cross multiply
    419,338.50x = 629,012.61 × 103,798.14
  4. Step 4: Simplify right side
    419,338.50x = 65,290,338,954.55
  5. Step 5: Solve for x
    x = 65,290,338,954.55/419,338.50
  6. Step 6: Final answer
    x = 155,698.41

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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.