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Finding the Fourth Proportional to 361,717.96, 542,141.72 and 133,831.88

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Solution

The fourth proportional to 361,717.96, 542,141.72 and 133,831.88 is: 200,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,717.96 : 542,141.72 = 133,831.88 : x
  2. Step 2: Convert to fraction form
    361,717.96/542,141.72 = 133,831.88/x
  3. Step 3: Cross multiply
    361,717.96x = 542,141.72 × 133,831.88
  4. Step 4: Simplify right side
    361,717.96x = 72,555,846,802.10
  5. Step 5: Solve for x
    x = 72,555,846,802.10/361,717.96
  6. Step 6: Final answer
    x = 200,586.80

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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.