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Finding the Fourth Proportional to 419,936,609.80, 629,904,914.70 and 333,205,438.60

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Solution

The fourth proportional to 419,936,609.80, 629,904,914.70 and 333,205,438.60 is: 499,808,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,936,609.80 : 629,904,914.70 = 333,205,438.60 : x
  2. Step 2: Convert to fraction form
    419,936,609.80/629,904,914.70 = 333,205,438.60/x
  3. Step 3: Cross multiply
    419,936,609.80x = 629,904,914.70 × 333,205,438.60
  4. Step 4: Simplify right side
    419,936,609.80x = 209,887,743,378,909,120
  5. Step 5: Solve for x
    x = 209,887,743,378,909,120/419,936,609.80
  6. Step 6: Final answer
    x = 499,808,157.90

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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.