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Finding the Fourth Proportional to 381,591.76, 526,570.24 and 211,812.52

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Solution

The fourth proportional to 381,591.76, 526,570.24 and 211,812.52 is: 292,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,591.76 : 526,570.24 = 211,812.52 : x
  2. Step 2: Convert to fraction form
    381,591.76/526,570.24 = 211,812.52/x
  3. Step 3: Cross multiply
    381,591.76x = 526,570.24 × 211,812.52
  4. Step 4: Simplify right side
    381,591.76x = 111,534,169,491.41
  5. Step 5: Solve for x
    x = 111,534,169,491.41/381,591.76
  6. Step 6: Final answer
    x = 292,286.63

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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.