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Finding the Fourth Proportional to 354,486.27, 489,270.47 and 225,399.81

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Solution

The fourth proportional to 354,486.27, 489,270.47 and 225,399.81 is: 311,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,486.27 : 489,270.47 = 225,399.81 : x
  2. Step 2: Convert to fraction form
    354,486.27/489,270.47 = 225,399.81/x
  3. Step 3: Cross multiply
    354,486.27x = 489,270.47 × 225,399.81
  4. Step 4: Simplify right side
    354,486.27x = 110,281,470,976.61
  5. Step 5: Solve for x
    x = 110,281,470,976.61/354,486.27
  6. Step 6: Final answer
    x = 311,102.24

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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.