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Finding the Fourth Proportional to 324,220.80, 486,039.60 and 205,831.20

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Solution

The fourth proportional to 324,220.80, 486,039.60 and 205,831.20 is: 308,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,220.80 : 486,039.60 = 205,831.20 : x
  2. Step 2: Convert to fraction form
    324,220.80/486,039.60 = 205,831.20/x
  3. Step 3: Cross multiply
    324,220.80x = 486,039.60 × 205,831.20
  4. Step 4: Simplify right side
    324,220.80x = 100,042,114,115.52
  5. Step 5: Solve for x
    x = 100,042,114,115.52/324,220.80
  6. Step 6: Final answer
    x = 308,561.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.