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Finding the Fourth Proportional to 381,353.82, 526,268.34 and 211,587.54

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Solution

The fourth proportional to 381,353.82, 526,268.34 and 211,587.54 is: 291,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,353.82 : 526,268.34 = 211,587.54 : x
  2. Step 2: Convert to fraction form
    381,353.82/526,268.34 = 211,587.54/x
  3. Step 3: Cross multiply
    381,353.82x = 526,268.34 × 211,587.54
  4. Step 4: Simplify right side
    381,353.82x = 111,351,823,440.48
  5. Step 5: Solve for x
    x = 111,351,823,440.48/381,353.82
  6. Step 6: Final answer
    x = 291,990.84

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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.