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Finding the Fourth Proportional to 419,907,453.90, 629,861,180.85 and 266,096,618.70

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Solution

The fourth proportional to 419,907,453.90, 629,861,180.85 and 266,096,618.70 is: 399,144,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,453.90 : 629,861,180.85 = 266,096,618.70 : x
  2. Step 2: Convert to fraction form
    419,907,453.90/629,861,180.85 = 266,096,618.70/x
  3. Step 3: Cross multiply
    419,907,453.90x = 629,861,180.85 × 266,096,618.70
  4. Step 4: Simplify right side
    419,907,453.90x = 167,603,930,474,574,176
  5. Step 5: Solve for x
    x = 167,603,930,474,574,176/419,907,453.90
  6. Step 6: Final answer
    x = 399,144,928.05

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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.