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Finding the Fourth Proportional to 419,911,496.40, 629,867,244.60 and 266,100,661.20

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Solution

The fourth proportional to 419,911,496.40, 629,867,244.60 and 266,100,661.20 is: 399,150,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,911,496.40 : 629,867,244.60 = 266,100,661.20 : x
  2. Step 2: Convert to fraction form
    419,911,496.40/629,867,244.60 = 266,100,661.20/x
  3. Step 3: Cross multiply
    419,911,496.40x = 629,867,244.60 × 266,100,661.20
  4. Step 4: Simplify right side
    419,911,496.40x = 167,608,090,256,282,144
  5. Step 5: Solve for x
    x = 167,608,090,256,282,144/419,911,496.40
  6. Step 6: Final answer
    x = 399,150,991.80

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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.