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Finding the Fourth Proportional to 603,612,007.70, 905,418,011.55 and 419,945,998.10

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Solution

The fourth proportional to 603,612,007.70, 905,418,011.55 and 419,945,998.10 is: 629,918,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,612,007.70 : 905,418,011.55 = 419,945,998.10 : x
  2. Step 2: Convert to fraction form
    603,612,007.70/905,418,011.55 = 419,945,998.10/x
  3. Step 3: Cross multiply
    603,612,007.70x = 905,418,011.55 × 419,945,998.10
  4. Step 4: Simplify right side
    603,612,007.70x = 380,226,670,558,082,048
  5. Step 5: Solve for x
    x = 380,226,670,558,082,048/603,612,007.70
  6. Step 6: Final answer
    x = 629,918,997.15

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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.