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Finding the Fourth Proportional to 300,479.64, 414,942.84 and 193,235.88

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Solution

The fourth proportional to 300,479.64, 414,942.84 and 193,235.88 is: 266,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,479.64 : 414,942.84 = 193,235.88 : x
  2. Step 2: Convert to fraction form
    300,479.64/414,942.84 = 193,235.88/x
  3. Step 3: Cross multiply
    300,479.64x = 414,942.84 × 193,235.88
  4. Step 4: Simplify right side
    300,479.64x = 80,181,844,837.10
  5. Step 5: Solve for x
    x = 80,181,844,837.10/300,479.64
  6. Step 6: Final answer
    x = 266,846.18

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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.