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Finding the Fourth Proportional to 326,831.76, 490,435.56 and 137,275.56

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Solution

The fourth proportional to 326,831.76, 490,435.56 and 137,275.56 is: 205,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,831.76 : 490,435.56 = 137,275.56 : x
  2. Step 2: Convert to fraction form
    326,831.76/490,435.56 = 137,275.56/x
  3. Step 3: Cross multiply
    326,831.76x = 490,435.56 × 137,275.56
  4. Step 4: Simplify right side
    326,831.76x = 67,324,816,142.91
  5. Step 5: Solve for x
    x = 67,324,816,142.91/326,831.76
  6. Step 6: Final answer
    x = 205,992.27

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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.