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Finding the Fourth Proportional to 381,850.26, 526,964.28 and 212,095.32

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Solution

The fourth proportional to 381,850.26, 526,964.28 and 212,095.32 is: 292,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,850.26 : 526,964.28 = 212,095.32 : x
  2. Step 2: Convert to fraction form
    381,850.26/526,964.28 = 212,095.32/x
  3. Step 3: Cross multiply
    381,850.26x = 526,964.28 × 212,095.32
  4. Step 4: Simplify right side
    381,850.26x = 111,766,657,595.17
  5. Step 5: Solve for x
    x = 111,766,657,595.17/381,850.26
  6. Step 6: Final answer
    x = 292,697.61

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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.