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Finding the Fourth Proportional to 381,198.96, 526,054.90 and 211,433.08

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Solution

The fourth proportional to 381,198.96, 526,054.90 and 211,433.08 is: 291,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,198.96 : 526,054.90 = 211,433.08 : x
  2. Step 2: Convert to fraction form
    381,198.96/526,054.90 = 211,433.08/x
  3. Step 3: Cross multiply
    381,198.96x = 526,054.90 × 211,433.08
  4. Step 4: Simplify right side
    381,198.96x = 111,225,407,756.09
  5. Step 5: Solve for x
    x = 111,225,407,756.09/381,198.96
  6. Step 6: Final answer
    x = 291,777.84

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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.