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Finding the Fourth Proportional to 354,914.88, 489,707.67 and 225,806.73

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Solution

The fourth proportional to 354,914.88, 489,707.67 and 225,806.73 is: 311,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,914.88 : 489,707.67 = 225,806.73 : x
  2. Step 2: Convert to fraction form
    354,914.88/489,707.67 = 225,806.73/x
  3. Step 3: Cross multiply
    354,914.88x = 489,707.67 × 225,806.73
  4. Step 4: Simplify right side
    354,914.88x = 110,579,285,170.08
  5. Step 5: Solve for x
    x = 110,579,285,170.08/354,914.88
  6. Step 6: Final answer
    x = 311,565.65

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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.