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Finding the Fourth Proportional to 272,064.20, 408,096.30 and 196,831.40

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Solution

The fourth proportional to 272,064.20, 408,096.30 and 196,831.40 is: 295,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,064.20 : 408,096.30 = 196,831.40 : x
  2. Step 2: Convert to fraction form
    272,064.20/408,096.30 = 196,831.40/x
  3. Step 3: Cross multiply
    272,064.20x = 408,096.30 × 196,831.40
  4. Step 4: Simplify right side
    272,064.20x = 80,326,166,063.82
  5. Step 5: Solve for x
    x = 80,326,166,063.82/272,064.20
  6. Step 6: Final answer
    x = 295,247.10

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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.