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Finding the Fourth Proportional to 331,477, 497,293.26 and 109,861

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Solution

The fourth proportional to 331,477, 497,293.26 and 109,861 is: 164,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,477 : 497,293.26 = 109,861 : x
  2. Step 2: Convert to fraction form
    331,477/497,293.26 = 109,861/x
  3. Step 3: Cross multiply
    331,477x = 497,293.26 × 109,861
  4. Step 4: Simplify right side
    331,477x = 54,633,134,836.86
  5. Step 5: Solve for x
    x = 54,633,134,836.86/331,477
  6. Step 6: Final answer
    x = 164,817.27

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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.