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Finding the Fourth Proportional to 419,645,447.80, 629,468,171.70 and 351,620,999.80

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Solution

The fourth proportional to 419,645,447.80, 629,468,171.70 and 351,620,999.80 is: 527,431,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,645,447.80 : 629,468,171.70 = 351,620,999.80 : x
  2. Step 2: Convert to fraction form
    419,645,447.80/629,468,171.70 = 351,620,999.80/x
  3. Step 3: Cross multiply
    419,645,447.80x = 629,468,171.70 × 351,620,999.80
  4. Step 4: Simplify right side
    419,645,447.80x = 221,334,227,875,432,096
  5. Step 5: Solve for x
    x = 221,334,227,875,432,096/419,645,447.80
  6. Step 6: Final answer
    x = 527,431,499.70

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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.