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Finding the Fourth Proportional to 381,422.52, 526,387.69 and 211,656.65

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Solution

The fourth proportional to 381,422.52, 526,387.69 and 211,656.65 is: 292,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,422.52 : 526,387.69 = 211,656.65 : x
  2. Step 2: Convert to fraction form
    381,422.52/526,387.69 = 211,656.65/x
  3. Step 3: Cross multiply
    381,422.52x = 526,387.69 × 211,656.65
  4. Step 4: Simplify right side
    381,422.52x = 111,413,455,066.64
  5. Step 5: Solve for x
    x = 111,413,455,066.64/381,422.52
  6. Step 6: Final answer
    x = 292,099.83

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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.