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Finding the Fourth Proportional to 419,475.68, 628,040.97 and 226,659.28

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Solution

The fourth proportional to 419,475.68, 628,040.97 and 226,659.28 is: 339,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,475.68 : 628,040.97 = 226,659.28 : x
  2. Step 2: Convert to fraction form
    419,475.68/628,040.97 = 226,659.28/x
  3. Step 3: Cross multiply
    419,475.68x = 628,040.97 × 226,659.28
  4. Step 4: Simplify right side
    419,475.68x = 142,351,314,070.70
  5. Step 5: Solve for x
    x = 142,351,314,070.70/419,475.68
  6. Step 6: Final answer
    x = 339,355.34

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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.