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Finding the Fourth Proportional to 279,796,057.88, 418,820,715.99 and 206,102,919.78

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Solution

The fourth proportional to 279,796,057.88, 418,820,715.99 and 206,102,919.78 is: 308,511,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,796,057.88 : 418,820,715.99 = 206,102,919.78 : x
  2. Step 2: Convert to fraction form
    279,796,057.88/418,820,715.99 = 206,102,919.78/x
  3. Step 3: Cross multiply
    279,796,057.88x = 418,820,715.99 × 206,102,919.78
  4. Step 4: Simplify right side
    279,796,057.88x = 86,320,172,429,889,136
  5. Step 5: Solve for x
    x = 86,320,172,429,889,136/279,796,057.88
  6. Step 6: Final answer
    x = 308,511,038.67

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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.