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Finding the Fourth Proportional to 492,766.96, 680,015.10 and 277,908.88

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Solution

The fourth proportional to 492,766.96, 680,015.10 and 277,908.88 is: 383,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.96 : 680,015.10 = 277,908.88 : x
  2. Step 2: Convert to fraction form
    492,766.96/680,015.10 = 277,908.88/x
  3. Step 3: Cross multiply
    492,766.96x = 680,015.10 × 277,908.88
  4. Step 4: Simplify right side
    492,766.96x = 188,982,234,824.09
  5. Step 5: Solve for x
    x = 188,982,234,824.09/492,766.96
  6. Step 6: Final answer
    x = 383,512.39

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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.