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Finding the Fourth Proportional to 279,976.62, 419,232.90 and 153,353.46

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Solution

The fourth proportional to 279,976.62, 419,232.90 and 153,353.46 is: 229,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,976.62 : 419,232.90 = 153,353.46 : x
  2. Step 2: Convert to fraction form
    279,976.62/419,232.90 = 153,353.46/x
  3. Step 3: Cross multiply
    279,976.62x = 419,232.90 × 153,353.46
  4. Step 4: Simplify right side
    279,976.62x = 64,290,815,760.83
  5. Step 5: Solve for x
    x = 64,290,815,760.83/279,976.62
  6. Step 6: Final answer
    x = 229,629.23

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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.