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Finding the Fourth Proportional to 381,781.55, 526,864.86 and 209,715.41

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Solution

The fourth proportional to 381,781.55, 526,864.86 and 209,715.41 is: 289,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,781.55 : 526,864.86 = 209,715.41 : x
  2. Step 2: Convert to fraction form
    381,781.55/526,864.86 = 209,715.41/x
  3. Step 3: Cross multiply
    381,781.55x = 526,864.86 × 209,715.41
  4. Step 4: Simplify right side
    381,781.55x = 110,491,680,129.49
  5. Step 5: Solve for x
    x = 110,491,680,129.49/381,781.55
  6. Step 6: Final answer
    x = 289,410.74

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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.