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Finding the Fourth Proportional to 279,782.28, 419,797.44 and 146,630.88

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Solution

The fourth proportional to 279,782.28, 419,797.44 and 146,630.88 is: 220,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,782.28 : 419,797.44 = 146,630.88 : x
  2. Step 2: Convert to fraction form
    279,782.28/419,797.44 = 146,630.88/x
  3. Step 3: Cross multiply
    279,782.28x = 419,797.44 × 146,630.88
  4. Step 4: Simplify right side
    279,782.28x = 61,555,268,048.95
  5. Step 5: Solve for x
    x = 61,555,268,048.95/279,782.28
  6. Step 6: Final answer
    x = 220,011.32

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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.