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Finding the Fourth Proportional to 419,871,777.80, 629,765,143.32 and 113,194,891.40

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Solution

The fourth proportional to 419,871,777.80, 629,765,143.32 and 113,194,891.40 is: 169,780,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,871,777.80 : 629,765,143.32 = 113,194,891.40 : x
  2. Step 2: Convert to fraction form
    419,871,777.80/629,765,143.32 = 113,194,891.40/x
  3. Step 3: Cross multiply
    419,871,777.80x = 629,765,143.32 × 113,194,891.40
  4. Step 4: Simplify right side
    419,871,777.80x = 71,286,197,005,612,848
  5. Step 5: Solve for x
    x = 71,286,197,005,612,848/419,871,777.80
  6. Step 6: Final answer
    x = 169,780,873.05

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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.