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Finding the Fourth Proportional to 300,078, 414,107.64 and 165,942

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Solution

The fourth proportional to 300,078, 414,107.64 and 165,942 is: 228,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,078 : 414,107.64 = 165,942 : x
  2. Step 2: Convert to fraction form
    300,078/414,107.64 = 165,942/x
  3. Step 3: Cross multiply
    300,078x = 414,107.64 × 165,942
  4. Step 4: Simplify right side
    300,078x = 68,717,849,996.88
  5. Step 5: Solve for x
    x = 68,717,849,996.88/300,078
  6. Step 6: Final answer
    x = 228,999.96

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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.