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Finding the Fourth Proportional to 381,563.56, 526,531.34 and 211,784.32

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Solution

The fourth proportional to 381,563.56, 526,531.34 and 211,784.32 is: 292,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,563.56 : 526,531.34 = 211,784.32 : x
  2. Step 2: Convert to fraction form
    381,563.56/526,531.34 = 211,784.32/x
  3. Step 3: Cross multiply
    381,563.56x = 526,531.34 × 211,784.32
  4. Step 4: Simplify right side
    381,563.56x = 111,511,081,800.59
  5. Step 5: Solve for x
    x = 111,511,081,800.59/381,563.56
  6. Step 6: Final answer
    x = 292,247.72

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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.