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Finding the Fourth Proportional to 299,587,736.40, 449,381,604.60 and 213,143,499.60

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Solution

The fourth proportional to 299,587,736.40, 449,381,604.60 and 213,143,499.60 is: 319,715,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,587,736.40 : 449,381,604.60 = 213,143,499.60 : x
  2. Step 2: Convert to fraction form
    299,587,736.40/449,381,604.60 = 213,143,499.60/x
  3. Step 3: Cross multiply
    299,587,736.40x = 449,381,604.60 × 213,143,499.60
  4. Step 4: Simplify right side
    299,587,736.40x = 95,782,767,860,307,456
  5. Step 5: Solve for x
    x = 95,782,767,860,307,456/299,587,736.40
  6. Step 6: Final answer
    x = 319,715,249.40

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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.