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Finding the Fourth Proportional to 331,473, 497,209.56 and 109,857

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Solution

The fourth proportional to 331,473, 497,209.56 and 109,857 is: 164,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,473 : 497,209.56 = 109,857 : x
  2. Step 2: Convert to fraction form
    331,473/497,209.56 = 109,857/x
  3. Step 3: Cross multiply
    331,473x = 497,209.56 × 109,857
  4. Step 4: Simplify right side
    331,473x = 54,621,950,632.92
  5. Step 5: Solve for x
    x = 54,621,950,632.92/331,473
  6. Step 6: Final answer
    x = 164,785.52

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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.