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Finding the Fourth Proportional to 331,720.92, 457,786.62 and 188,487

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Solution

The fourth proportional to 331,720.92, 457,786.62 and 188,487 is: 260,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,720.92 : 457,786.62 = 188,487 : x
  2. Step 2: Convert to fraction form
    331,720.92/457,786.62 = 188,487/x
  3. Step 3: Cross multiply
    331,720.92x = 457,786.62 × 188,487
  4. Step 4: Simplify right side
    331,720.92x = 86,286,826,643.94
  5. Step 5: Solve for x
    x = 86,286,826,643.94/331,720.92
  6. Step 6: Final answer
    x = 260,118.74

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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.