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Finding the Fourth Proportional to 381,426.47, 526,384.93 and 211,660.59

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Solution

The fourth proportional to 381,426.47, 526,384.93 and 211,660.59 is: 292,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,426.47 : 526,384.93 = 211,660.59 : x
  2. Step 2: Convert to fraction form
    381,426.47/526,384.93 = 211,660.59/x
  3. Step 3: Cross multiply
    381,426.47x = 526,384.93 × 211,660.59
  4. Step 4: Simplify right side
    381,426.47x = 111,414,946,692.56
  5. Step 5: Solve for x
    x = 111,414,946,692.56/381,426.47
  6. Step 6: Final answer
    x = 292,100.72

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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.