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Finding the Fourth Proportional to 331,983.82, 458,106.90 and 188,715.88

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Solution

The fourth proportional to 331,983.82, 458,106.90 and 188,715.88 is: 260,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,983.82 : 458,106.90 = 188,715.88 : x
  2. Step 2: Convert to fraction form
    331,983.82/458,106.90 = 188,715.88/x
  3. Step 3: Cross multiply
    331,983.82x = 458,106.90 × 188,715.88
  4. Step 4: Simplify right side
    331,983.82x = 86,452,046,767.57
  5. Step 5: Solve for x
    x = 86,452,046,767.57/331,983.82
  6. Step 6: Final answer
    x = 260,410.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.