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Finding the Fourth Proportional to 300,536, 414,739.68 and 166,408.64

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Solution

The fourth proportional to 300,536, 414,739.68 and 166,408.64 is: 229,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,536 : 414,739.68 = 166,408.64 : x
  2. Step 2: Convert to fraction form
    300,536/414,739.68 = 166,408.64/x
  3. Step 3: Cross multiply
    300,536x = 414,739.68 × 166,408.64
  4. Step 4: Simplify right side
    300,536x = 69,016,266,102.84
  5. Step 5: Solve for x
    x = 69,016,266,102.84/300,536
  6. Step 6: Final answer
    x = 229,643.92

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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.