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Finding the Fourth Proportional to 381,833.64, 526,922.82 and 212,061.96

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Solution

The fourth proportional to 381,833.64, 526,922.82 and 212,061.96 is: 292,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,833.64 : 526,922.82 = 212,061.96 : x
  2. Step 2: Convert to fraction form
    381,833.64/526,922.82 = 212,061.96/x
  3. Step 3: Cross multiply
    381,833.64x = 526,922.82 × 212,061.96
  4. Step 4: Simplify right side
    381,833.64x = 111,740,285,977.93
  5. Step 5: Solve for x
    x = 111,740,285,977.93/381,833.64
  6. Step 6: Final answer
    x = 292,641.28

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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.