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Finding the Fourth Proportional to 279,782.44, 419,797.72 and 146,631.08

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Solution

The fourth proportional to 279,782.44, 419,797.72 and 146,631.08 is: 220,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,782.44 : 419,797.72 = 146,631.08 : x
  2. Step 2: Convert to fraction form
    279,782.44/419,797.72 = 146,631.08/x
  3. Step 3: Cross multiply
    279,782.44x = 419,797.72 × 146,631.08
  4. Step 4: Simplify right side
    279,782.44x = 61,555,393,065.14
  5. Step 5: Solve for x
    x = 61,555,393,065.14/279,782.44
  6. Step 6: Final answer
    x = 220,011.64

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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.