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Finding the Fourth Proportional to 542,992.20, 814,682.70 and 227,545.80

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Solution

The fourth proportional to 542,992.20, 814,682.70 and 227,545.80 is: 341,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,992.20 : 814,682.70 = 227,545.80 : x
  2. Step 2: Convert to fraction form
    542,992.20/814,682.70 = 227,545.80/x
  3. Step 3: Cross multiply
    542,992.20x = 814,682.70 × 227,545.80
  4. Step 4: Simplify right side
    542,992.20x = 185,377,626,717.66
  5. Step 5: Solve for x
    x = 185,377,626,717.66/542,992.20
  6. Step 6: Final answer
    x = 341,400.17

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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.