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Finding the Fourth Proportional to 381,893.94, 526,944.15 and 220,689.90

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Solution

The fourth proportional to 381,893.94, 526,944.15 and 220,689.90 is: 304,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,893.94 : 526,944.15 = 220,689.90 : x
  2. Step 2: Convert to fraction form
    381,893.94/526,944.15 = 220,689.90/x
  3. Step 3: Cross multiply
    381,893.94x = 526,944.15 × 220,689.90
  4. Step 4: Simplify right side
    381,893.94x = 116,291,251,769.09
  5. Step 5: Solve for x
    x = 116,291,251,769.09/381,893.94
  6. Step 6: Final answer
    x = 304,511.91

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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.