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Finding the Fourth Proportional to 331,726.84, 457,765.74 and 188,467

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Solution

The fourth proportional to 331,726.84, 457,765.74 and 188,467 is: 260,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,726.84 : 457,765.74 = 188,467 : x
  2. Step 2: Convert to fraction form
    331,726.84/457,765.74 = 188,467/x
  3. Step 3: Cross multiply
    331,726.84x = 457,765.74 × 188,467
  4. Step 4: Simplify right side
    331,726.84x = 86,273,735,720.58
  5. Step 5: Solve for x
    x = 86,273,735,720.58/331,726.84
  6. Step 6: Final answer
    x = 260,074.63

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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.