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Finding the Fourth Proportional to 392,503.15, 541,664.30 and 220,434.85

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Solution

The fourth proportional to 392,503.15, 541,664.30 and 220,434.85 is: 304,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,503.15 : 541,664.30 = 220,434.85 : x
  2. Step 2: Convert to fraction form
    392,503.15/541,664.30 = 220,434.85/x
  3. Step 3: Cross multiply
    392,503.15x = 541,664.30 × 220,434.85
  4. Step 4: Simplify right side
    392,503.15x = 119,401,687,618.68
  5. Step 5: Solve for x
    x = 119,401,687,618.68/392,503.15
  6. Step 6: Final answer
    x = 304,205.68

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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.