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Finding the Fourth Proportional to 327,061.80, 490,228.20 and 127,315.80

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Solution

The fourth proportional to 327,061.80, 490,228.20 and 127,315.80 is: 190,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,061.80 : 490,228.20 = 127,315.80 : x
  2. Step 2: Convert to fraction form
    327,061.80/490,228.20 = 127,315.80/x
  3. Step 3: Cross multiply
    327,061.80x = 490,228.20 × 127,315.80
  4. Step 4: Simplify right side
    327,061.80x = 62,413,795,465.56
  5. Step 5: Solve for x
    x = 62,413,795,465.56/327,061.80
  6. Step 6: Final answer
    x = 190,831.81

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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.