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Finding the Fourth Proportional to 381,405.78, 526,442.09 and 238,079.52

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Solution

The fourth proportional to 381,405.78, 526,442.09 and 238,079.52 is: 328,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,405.78 : 526,442.09 = 238,079.52 : x
  2. Step 2: Convert to fraction form
    381,405.78/526,442.09 = 238,079.52/x
  3. Step 3: Cross multiply
    381,405.78x = 526,442.09 × 238,079.52
  4. Step 4: Simplify right side
    381,405.78x = 125,335,078,904.60
  5. Step 5: Solve for x
    x = 125,335,078,904.60/381,405.78
  6. Step 6: Final answer
    x = 328,613.48

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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.