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Finding the Fourth Proportional to 419,928.20, 629,978.70 and 139,646.60

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Solution

The fourth proportional to 419,928.20, 629,978.70 and 139,646.60 is: 209,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,928.20 : 629,978.70 = 139,646.60 : x
  2. Step 2: Convert to fraction form
    419,928.20/629,978.70 = 139,646.60/x
  3. Step 3: Cross multiply
    419,928.20x = 629,978.70 × 139,646.60
  4. Step 4: Simplify right side
    419,928.20x = 87,974,383,527.42
  5. Step 5: Solve for x
    x = 87,974,383,527.42/419,928.20
  6. Step 6: Final answer
    x = 209,498.63

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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.