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Finding the Fourth Proportional to 419,311.02, 628,441.44 and 330,212.64

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Solution

The fourth proportional to 419,311.02, 628,441.44 and 330,212.64 is: 494,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,311.02 : 628,441.44 = 330,212.64 : x
  2. Step 2: Convert to fraction form
    419,311.02/628,441.44 = 330,212.64/x
  3. Step 3: Cross multiply
    419,311.02x = 628,441.44 × 330,212.64
  4. Step 4: Simplify right side
    419,311.02x = 207,519,306,987.80
  5. Step 5: Solve for x
    x = 207,519,306,987.80/419,311.02
  6. Step 6: Final answer
    x = 494,905.45

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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.