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Finding the Fourth Proportional to 381,266.76, 526,143.24 and 206,834.40

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Solution

The fourth proportional to 381,266.76, 526,143.24 and 206,834.40 is: 285,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,266.76 : 526,143.24 = 206,834.40 : x
  2. Step 2: Convert to fraction form
    381,266.76/526,143.24 = 206,834.40/x
  3. Step 3: Cross multiply
    381,266.76x = 526,143.24 × 206,834.40
  4. Step 4: Simplify right side
    381,266.76x = 108,824,521,359.46
  5. Step 5: Solve for x
    x = 108,824,521,359.46/381,266.76
  6. Step 6: Final answer
    x = 285,428.82

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1.5x scale

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.