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Finding the Fourth Proportional to 644,115.80, 965,828.10 and 269,715.80

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Solution

The fourth proportional to 644,115.80, 965,828.10 and 269,715.80 is: 404,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,115.80 : 965,828.10 = 269,715.80 : x
  2. Step 2: Convert to fraction form
    644,115.80/965,828.10 = 269,715.80/x
  3. Step 3: Cross multiply
    644,115.80x = 965,828.10 × 269,715.80
  4. Step 4: Simplify right side
    644,115.80x = 260,499,098,653.98
  5. Step 5: Solve for x
    x = 260,499,098,653.98/644,115.80
  6. Step 6: Final answer
    x = 404,428.98

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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.