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Finding the Fourth Proportional to 419,485,492.98, 629,253,461.43 and 128,355,138.01

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Solution

The fourth proportional to 419,485,492.98, 629,253,461.43 and 128,355,138.01 is: 192,540,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,485,492.98 : 629,253,461.43 = 128,355,138.01 : x
  2. Step 2: Convert to fraction form
    419,485,492.98/629,253,461.43 = 128,355,138.01/x
  3. Step 3: Cross multiply
    419,485,492.98x = 629,253,461.43 × 128,355,138.01
  4. Step 4: Simplify right side
    419,485,492.98x = 80,767,914,885,117,856
  5. Step 5: Solve for x
    x = 80,767,914,885,117,856/419,485,492.98
  6. Step 6: Final answer
    x = 192,540,424.49

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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.