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Finding the Fourth Proportional to 381,809.06, 526,865.77 and 220,674.54

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Solution

The fourth proportional to 381,809.06, 526,865.77 and 220,674.54 is: 304,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,809.06 : 526,865.77 = 220,674.54 : x
  2. Step 2: Convert to fraction form
    381,809.06/526,865.77 = 220,674.54/x
  3. Step 3: Cross multiply
    381,809.06x = 526,865.77 × 220,674.54
  4. Step 4: Simplify right side
    381,809.06x = 116,265,861,895.95
  5. Step 5: Solve for x
    x = 116,265,861,895.95/381,809.06
  6. Step 6: Final answer
    x = 304,513.11

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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.