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Finding the Fourth Proportional to 308,321.92, 462,472.32 and 130,714.56

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Solution

The fourth proportional to 308,321.92, 462,472.32 and 130,714.56 is: 196,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,321.92 : 462,472.32 = 130,714.56 : x
  2. Step 2: Convert to fraction form
    308,321.92/462,472.32 = 130,714.56/x
  3. Step 3: Cross multiply
    308,321.92x = 462,472.32 × 130,714.56
  4. Step 4: Simplify right side
    308,321.92x = 60,451,865,820.98
  5. Step 5: Solve for x
    x = 60,451,865,820.98/308,321.92
  6. Step 6: Final answer
    x = 196,067.36

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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.