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Finding the Fourth Proportional to 419,739.20, 629,608.80 and 354,785.30

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Solution

The fourth proportional to 419,739.20, 629,608.80 and 354,785.30 is: 532,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,739.20 : 629,608.80 = 354,785.30 : x
  2. Step 2: Convert to fraction form
    419,739.20/629,608.80 = 354,785.30/x
  3. Step 3: Cross multiply
    419,739.20x = 629,608.80 × 354,785.30
  4. Step 4: Simplify right side
    419,739.20x = 223,375,946,990.64
  5. Step 5: Solve for x
    x = 223,375,946,990.64/419,739.20
  6. Step 6: Final answer
    x = 532,177.95

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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.