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Finding the Fourth Proportional to 278,311.72, 383,832.82 and 213,936.92

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Solution

The fourth proportional to 278,311.72, 383,832.82 and 213,936.92 is: 295,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.72 : 383,832.82 = 213,936.92 : x
  2. Step 2: Convert to fraction form
    278,311.72/383,832.82 = 213,936.92/x
  3. Step 3: Cross multiply
    278,311.72x = 383,832.82 × 213,936.92
  4. Step 4: Simplify right side
    278,311.72x = 82,116,010,270.42
  5. Step 5: Solve for x
    x = 82,116,010,270.42/278,311.72
  6. Step 6: Final answer
    x = 295,050.50

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1.5x scale

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.