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Finding the Fourth Proportional to 354,786.15, 489,529.92 and 225,677.61

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Solution

The fourth proportional to 354,786.15, 489,529.92 and 225,677.61 is: 311,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,786.15 : 489,529.92 = 225,677.61 : x
  2. Step 2: Convert to fraction form
    354,786.15/489,529.92 = 225,677.61/x
  3. Step 3: Cross multiply
    354,786.15x = 489,529.92 × 225,677.61
  4. Step 4: Simplify right side
    354,786.15x = 110,475,942,369.09
  5. Step 5: Solve for x
    x = 110,475,942,369.09/354,786.15
  6. Step 6: Final answer
    x = 311,387.42

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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.