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Finding the Fourth Proportional to 300,477.64, 414,940.08 and 193,233.88

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Solution

The fourth proportional to 300,477.64, 414,940.08 and 193,233.88 is: 266,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,477.64 : 414,940.08 = 193,233.88 : x
  2. Step 2: Convert to fraction form
    300,477.64/414,940.08 = 193,233.88/x
  3. Step 3: Cross multiply
    300,477.64x = 414,940.08 × 193,233.88
  4. Step 4: Simplify right side
    300,477.64x = 80,180,481,625.91
  5. Step 5: Solve for x
    x = 80,180,481,625.91/300,477.64
  6. Step 6: Final answer
    x = 266,843.42

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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.