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Finding the Fourth Proportional to 393,147, 542,543.22 and 214,299

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Solution

The fourth proportional to 393,147, 542,543.22 and 214,299 is: 295,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,147 : 542,543.22 = 214,299 : x
  2. Step 2: Convert to fraction form
    393,147/542,543.22 = 214,299/x
  3. Step 3: Cross multiply
    393,147x = 542,543.22 × 214,299
  4. Step 4: Simplify right side
    393,147x = 116,266,469,502.78
  5. Step 5: Solve for x
    x = 116,266,469,502.78/393,147
  6. Step 6: Final answer
    x = 295,732.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.