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Finding the Fourth Proportional to 381,318.56, 526,282.56 and 211,607.36

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Solution

The fourth proportional to 381,318.56, 526,282.56 and 211,607.36 is: 292,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,318.56 : 526,282.56 = 211,607.36 : x
  2. Step 2: Convert to fraction form
    381,318.56/526,282.56 = 211,607.36/x
  3. Step 3: Cross multiply
    381,318.56x = 526,282.56 × 211,607.36
  4. Step 4: Simplify right side
    381,318.56x = 111,365,263,135.64
  5. Step 5: Solve for x
    x = 111,365,263,135.64/381,318.56
  6. Step 6: Final answer
    x = 292,053.09

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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.