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Finding the Fourth Proportional to 331,023.52, 456,811.20 and 187,811.20

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Solution

The fourth proportional to 331,023.52, 456,811.20 and 187,811.20 is: 259,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,023.52 : 456,811.20 = 187,811.20 : x
  2. Step 2: Convert to fraction form
    331,023.52/456,811.20 = 187,811.20/x
  3. Step 3: Cross multiply
    331,023.52x = 456,811.20 × 187,811.20
  4. Step 4: Simplify right side
    331,023.52x = 85,794,259,645.44
  5. Step 5: Solve for x
    x = 85,794,259,645.44/331,023.52
  6. Step 6: Final answer
    x = 259,178.74

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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.