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Finding the Fourth Proportional to 392,416.79, 541,545.53 and 220,348.49

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Solution

The fourth proportional to 392,416.79, 541,545.53 and 220,348.49 is: 304,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,416.79 : 541,545.53 = 220,348.49 : x
  2. Step 2: Convert to fraction form
    392,416.79/541,545.53 = 220,348.49/x
  3. Step 3: Cross multiply
    392,416.79x = 541,545.53 × 220,348.49
  4. Step 4: Simplify right side
    392,416.79x = 119,328,735,992.28
  5. Step 5: Solve for x
    x = 119,328,735,992.28/392,416.79
  6. Step 6: Final answer
    x = 304,086.73

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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.