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Finding the Fourth Proportional to 270,400.80, 405,831.60 and 120,871.20

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Solution

The fourth proportional to 270,400.80, 405,831.60 and 120,871.20 is: 181,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,400.80 : 405,831.60 = 120,871.20 : x
  2. Step 2: Convert to fraction form
    270,400.80/405,831.60 = 120,871.20/x
  3. Step 3: Cross multiply
    270,400.80x = 405,831.60 × 120,871.20
  4. Step 4: Simplify right side
    270,400.80x = 49,053,352,489.92
  5. Step 5: Solve for x
    x = 49,053,352,489.92/270,400.80
  6. Step 6: Final answer
    x = 181,409.79

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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.