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Finding the Fourth Proportional to 492,759.20, 739,138.80 and 212,823.20

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Solution

The fourth proportional to 492,759.20, 739,138.80 and 212,823.20 is: 319,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,759.20 : 739,138.80 = 212,823.20 : x
  2. Step 2: Convert to fraction form
    492,759.20/739,138.80 = 212,823.20/x
  3. Step 3: Cross multiply
    492,759.20x = 739,138.80 × 212,823.20
  4. Step 4: Simplify right side
    492,759.20x = 157,305,884,660.16
  5. Step 5: Solve for x
    x = 157,305,884,660.16/492,759.20
  6. Step 6: Final answer
    x = 319,234.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.