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Finding the Fourth Proportional to 419,907,546.40, 629,861,319.60 and 266,096,711.20

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Solution

The fourth proportional to 419,907,546.40, 629,861,319.60 and 266,096,711.20 is: 399,145,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,546.40 : 629,861,319.60 = 266,096,711.20 : x
  2. Step 2: Convert to fraction form
    419,907,546.40/629,861,319.60 = 266,096,711.20/x
  3. Step 3: Cross multiply
    419,907,546.40x = 629,861,319.60 × 266,096,711.20
  4. Step 4: Simplify right side
    419,907,546.40x = 167,604,025,657,652,096
  5. Step 5: Solve for x
    x = 167,604,025,657,652,096/419,907,546.40
  6. Step 6: Final answer
    x = 399,145,066.80

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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.