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Finding the Fourth Proportional to 381,575.88, 526,629.50 and 228,620.14

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Solution

The fourth proportional to 381,575.88, 526,629.50 and 228,620.14 is: 315,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,575.88 : 526,629.50 = 228,620.14 : x
  2. Step 2: Convert to fraction form
    381,575.88/526,629.50 = 228,620.14/x
  3. Step 3: Cross multiply
    381,575.88x = 526,629.50 × 228,620.14
  4. Step 4: Simplify right side
    381,575.88x = 120,398,108,415.78
  5. Step 5: Solve for x
    x = 120,398,108,415.78/381,575.88
  6. Step 6: Final answer
    x = 315,528.61

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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.