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Finding the Fourth Proportional to 381,219.32, 526,078.86 and 211,449.08

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Solution

The fourth proportional to 381,219.32, 526,078.86 and 211,449.08 is: 291,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,219.32 : 526,078.86 = 211,449.08 : x
  2. Step 2: Convert to fraction form
    381,219.32/526,078.86 = 211,449.08/x
  3. Step 3: Cross multiply
    381,219.32x = 526,078.86 × 211,449.08
  4. Step 4: Simplify right side
    381,219.32x = 111,238,890,954.45
  5. Step 5: Solve for x
    x = 111,238,890,954.45/381,219.32
  6. Step 6: Final answer
    x = 291,797.62

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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.