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Finding the Fourth Proportional to 419,871,778.80, 629,765,144.82 and 113,194,892.40

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Solution

The fourth proportional to 419,871,778.80, 629,765,144.82 and 113,194,892.40 is: 169,780,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,871,778.80 : 629,765,144.82 = 113,194,892.40 : x
  2. Step 2: Convert to fraction form
    419,871,778.80/629,765,144.82 = 113,194,892.40/x
  3. Step 3: Cross multiply
    419,871,778.80x = 629,765,144.82 × 113,194,892.40
  4. Step 4: Simplify right side
    419,871,778.80x = 71,286,197,805,170,328
  5. Step 5: Solve for x
    x = 71,286,197,805,170,328/419,871,778.80
  6. Step 6: Final answer
    x = 169,780,874.55

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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.