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Finding the Fourth Proportional to 269,675.70, 403,882.83 and 213,136.35

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Solution

The fourth proportional to 269,675.70, 403,882.83 and 213,136.35 is: 319,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,675.70 : 403,882.83 = 213,136.35 : x
  2. Step 2: Convert to fraction form
    269,675.70/403,882.83 = 213,136.35/x
  3. Step 3: Cross multiply
    269,675.70x = 403,882.83 × 213,136.35
  4. Step 4: Simplify right side
    269,675.70x = 86,082,112,213.87
  5. Step 5: Solve for x
    x = 86,082,112,213.87/269,675.70
  6. Step 6: Final answer
    x = 319,206.04

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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.