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Finding the Fourth Proportional to 381,189.94, 526,049.13 and 209,116.69

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Solution

The fourth proportional to 381,189.94, 526,049.13 and 209,116.69 is: 288,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,189.94 : 526,049.13 = 209,116.69 : x
  2. Step 2: Convert to fraction form
    381,189.94/526,049.13 = 209,116.69/x
  3. Step 3: Cross multiply
    381,189.94x = 526,049.13 × 209,116.69
  4. Step 4: Simplify right side
    381,189.94x = 110,005,652,842.98
  5. Step 5: Solve for x
    x = 110,005,652,842.98/381,189.94
  6. Step 6: Final answer
    x = 288,584.88

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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.