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Finding the Fourth Proportional to 280,796.54, 387,454.41 and 159,940.17

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Solution

The fourth proportional to 280,796.54, 387,454.41 and 159,940.17 is: 220,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,796.54 : 387,454.41 = 159,940.17 : x
  2. Step 2: Convert to fraction form
    280,796.54/387,454.41 = 159,940.17/x
  3. Step 3: Cross multiply
    280,796.54x = 387,454.41 × 159,940.17
  4. Step 4: Simplify right side
    280,796.54x = 61,969,524,202.65
  5. Step 5: Solve for x
    x = 61,969,524,202.65/280,796.54
  6. Step 6: Final answer
    x = 220,691.91

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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.