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Finding the Fourth Proportional to 381,190.44, 526,049.82 and 209,117.19

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Solution

The fourth proportional to 381,190.44, 526,049.82 and 209,117.19 is: 288,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,190.44 : 526,049.82 = 209,117.19 : x
  2. Step 2: Convert to fraction form
    381,190.44/526,049.82 = 209,117.19/x
  3. Step 3: Cross multiply
    381,190.44x = 526,049.82 × 209,117.19
  4. Step 4: Simplify right side
    381,190.44x = 110,006,060,158.41
  5. Step 5: Solve for x
    x = 110,006,060,158.41/381,190.44
  6. Step 6: Final answer
    x = 288,585.57

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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.