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Finding the Fourth Proportional to 419,871,653.82, 629,764,958.07 and 113,194,767.42

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Solution

The fourth proportional to 419,871,653.82, 629,764,958.07 and 113,194,767.42 is: 169,780,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,871,653.82 : 629,764,958.07 = 113,194,767.42 : x
  2. Step 2: Convert to fraction form
    419,871,653.82/629,764,958.07 = 113,194,767.42/x
  3. Step 3: Cross multiply
    419,871,653.82x = 629,764,958.07 × 113,194,767.42
  4. Step 4: Simplify right side
    419,871,653.82x = 71,286,097,957,999,712
  5. Step 5: Solve for x
    x = 71,286,097,957,999,712/419,871,653.82
  6. Step 6: Final answer
    x = 169,780,687.29

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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.