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Finding the Fourth Proportional to 381,435.96, 526,379.94 and 211,669.68

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Solution

The fourth proportional to 381,435.96, 526,379.94 and 211,669.68 is: 292,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,435.96 : 526,379.94 = 211,669.68 : x
  2. Step 2: Convert to fraction form
    381,435.96/526,379.94 = 211,669.68/x
  3. Step 3: Cross multiply
    381,435.96x = 526,379.94 × 211,669.68
  4. Step 4: Simplify right side
    381,435.96x = 111,418,673,458.22
  5. Step 5: Solve for x
    x = 111,418,673,458.22/381,435.96
  6. Step 6: Final answer
    x = 292,103.22

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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.