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Finding the Fourth Proportional to 392,992.44, 542,329.47 and 214,144.44

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Solution

The fourth proportional to 392,992.44, 542,329.47 and 214,144.44 is: 295,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,992.44 : 542,329.47 = 214,144.44 : x
  2. Step 2: Convert to fraction form
    392,992.44/542,329.47 = 214,144.44/x
  3. Step 3: Cross multiply
    392,992.44x = 542,329.47 × 214,144.44
  4. Step 4: Simplify right side
    392,992.44x = 116,136,840,648.65
  5. Step 5: Solve for x
    x = 116,136,840,648.65/392,992.44
  6. Step 6: Final answer
    x = 295,519.27

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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.