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Finding the Fourth Proportional to 331,493.32, 497,252.30 and 106,857

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Solution

The fourth proportional to 331,493.32, 497,252.30 and 106,857 is: 160,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,493.32 : 497,252.30 = 106,857 : x
  2. Step 2: Convert to fraction form
    331,493.32/497,252.30 = 106,857/x
  3. Step 3: Cross multiply
    331,493.32x = 497,252.30 × 106,857
  4. Step 4: Simplify right side
    331,493.32x = 53,134,889,021.10
  5. Step 5: Solve for x
    x = 53,134,889,021.10/331,493.32
  6. Step 6: Final answer
    x = 160,289.47

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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.