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Finding the Fourth Proportional to 381,820.14, 526,913.02 and 212,054.26

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Solution

The fourth proportional to 381,820.14, 526,913.02 and 212,054.26 is: 292,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,820.14 : 526,913.02 = 212,054.26 : x
  2. Step 2: Convert to fraction form
    381,820.14/526,913.02 = 212,054.26/x
  3. Step 3: Cross multiply
    381,820.14x = 526,913.02 × 212,054.26
  4. Step 4: Simplify right side
    381,820.14x = 111,734,150,540.47
  5. Step 5: Solve for x
    x = 111,734,150,540.47/381,820.14
  6. Step 6: Final answer
    x = 292,635.56

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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.