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Finding the Fourth Proportional to 419,484,750.48, 629,229,115.89 and 128,351,408.76

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Solution

The fourth proportional to 419,484,750.48, 629,229,115.89 and 128,351,408.76 is: 192,527,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,750.48 : 629,229,115.89 = 128,351,408.76 : x
  2. Step 2: Convert to fraction form
    419,484,750.48/629,229,115.89 = 128,351,408.76/x
  3. Step 3: Cross multiply
    419,484,750.48x = 629,229,115.89 × 128,351,408.76
  4. Step 4: Simplify right side
    419,484,750.48x = 80,762,443,457,290,800
  5. Step 5: Solve for x
    x = 80,762,443,457,290,800/419,484,750.48
  6. Step 6: Final answer
    x = 192,527,722.08

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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.