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Finding the Fourth Proportional to 221,031.68, 331,312.64 and 150,736.64

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Solution

The fourth proportional to 221,031.68, 331,312.64 and 150,736.64 is: 225,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,031.68 : 331,312.64 = 150,736.64 : x
  2. Step 2: Convert to fraction form
    221,031.68/331,312.64 = 150,736.64/x
  3. Step 3: Cross multiply
    221,031.68x = 331,312.64 × 150,736.64
  4. Step 4: Simplify right side
    221,031.68x = 49,940,954,143.13
  5. Step 5: Solve for x
    x = 49,940,954,143.13/221,031.68
  6. Step 6: Final answer
    x = 225,944.78

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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.