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Finding the Fourth Proportional to 419,654,401.20, 629,481,601.80 and 266,599,393.20

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Solution

The fourth proportional to 419,654,401.20, 629,481,601.80 and 266,599,393.20 is: 399,899,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,654,401.20 : 629,481,601.80 = 266,599,393.20 : x
  2. Step 2: Convert to fraction form
    419,654,401.20/629,481,601.80 = 266,599,393.20/x
  3. Step 3: Cross multiply
    419,654,401.20x = 629,481,601.80 × 266,599,393.20
  4. Step 4: Simplify right side
    419,654,401.20x = 167,819,413,070,444,000
  5. Step 5: Solve for x
    x = 167,819,413,070,444,000/419,654,401.20
  6. Step 6: Final answer
    x = 399,899,089.80

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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.