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Finding the Fourth Proportional to 272,814.30, 409,221.45 and 253,131.30

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Solution

The fourth proportional to 272,814.30, 409,221.45 and 253,131.30 is: 379,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,814.30 : 409,221.45 = 253,131.30 : x
  2. Step 2: Convert to fraction form
    272,814.30/409,221.45 = 253,131.30/x
  3. Step 3: Cross multiply
    272,814.30x = 409,221.45 × 253,131.30
  4. Step 4: Simplify right side
    272,814.30x = 103,586,757,626.39
  5. Step 5: Solve for x
    x = 103,586,757,626.39/272,814.30
  6. Step 6: Final answer
    x = 379,696.95

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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.