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Finding the Fourth Proportional to 419,614.20, 628,692.30 and 378,498.60

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Solution

The fourth proportional to 419,614.20, 628,692.30 and 378,498.60 is: 567,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,614.20 : 628,692.30 = 378,498.60 : x
  2. Step 2: Convert to fraction form
    419,614.20/628,692.30 = 378,498.60/x
  3. Step 3: Cross multiply
    419,614.20x = 628,692.30 × 378,498.60
  4. Step 4: Simplify right side
    419,614.20x = 237,959,155,380.78
  5. Step 5: Solve for x
    x = 237,959,155,380.78/419,614.20
  6. Step 6: Final answer
    x = 567,090.33

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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.