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Finding the Fourth Proportional to 381,898.87, 526,961.90 and 220,722.84

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Solution

The fourth proportional to 381,898.87, 526,961.90 and 220,722.84 is: 304,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,898.87 : 526,961.90 = 220,722.84 : x
  2. Step 2: Convert to fraction form
    381,898.87/526,961.90 = 220,722.84/x
  3. Step 3: Cross multiply
    381,898.87x = 526,961.90 × 220,722.84
  4. Step 4: Simplify right side
    381,898.87x = 116,312,527,691.60
  5. Step 5: Solve for x
    x = 116,312,527,691.60/381,898.87
  6. Step 6: Final answer
    x = 304,563.69

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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.