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Finding the Fourth Proportional to 331,726, 457,782 and 188,486.20

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Solution

The fourth proportional to 331,726, 457,782 and 188,486.20 is: 260,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,726 : 457,782 = 188,486.20 : x
  2. Step 2: Convert to fraction form
    331,726/457,782 = 188,486.20/x
  3. Step 3: Cross multiply
    331,726x = 457,782 × 188,486.20
  4. Step 4: Simplify right side
    331,726x = 86,285,589,608.40
  5. Step 5: Solve for x
    x = 86,285,589,608.40/331,726
  6. Step 6: Final answer
    x = 260,111.02

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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.