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Finding the Fourth Proportional to 269,415,469.80, 404,123,204.70 and 211,302,396.45

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Solution

The fourth proportional to 269,415,469.80, 404,123,204.70 and 211,302,396.45 is: 316,953,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,415,469.80 : 404,123,204.70 = 211,302,396.45 : x
  2. Step 2: Convert to fraction form
    269,415,469.80/404,123,204.70 = 211,302,396.45/x
  3. Step 3: Cross multiply
    269,415,469.80x = 404,123,204.70 × 211,302,396.45
  4. Step 4: Simplify right side
    269,415,469.80x = 85,392,201,614,163,888
  5. Step 5: Solve for x
    x = 85,392,201,614,163,888/269,415,469.80
  6. Step 6: Final answer
    x = 316,953,594.68

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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.