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Finding the Fourth Proportional to 381,305.28, 526,178.40 and 211,529.28

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Solution

The fourth proportional to 381,305.28, 526,178.40 and 211,529.28 is: 291,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305.28 : 526,178.40 = 211,529.28 : x
  2. Step 2: Convert to fraction form
    381,305.28/526,178.40 = 211,529.28/x
  3. Step 3: Cross multiply
    381,305.28x = 526,178.40 × 211,529.28
  4. Step 4: Simplify right side
    381,305.28x = 111,302,138,103.55
  5. Step 5: Solve for x
    x = 111,302,138,103.55/381,305.28
  6. Step 6: Final answer
    x = 291,897.71

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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.