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Finding the Fourth Proportional to 300,376, 414,520.10 and 166,240

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Solution

The fourth proportional to 300,376, 414,520.10 and 166,240 is: 229,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,376 : 414,520.10 = 166,240 : x
  2. Step 2: Convert to fraction form
    300,376/414,520.10 = 166,240/x
  3. Step 3: Cross multiply
    300,376x = 414,520.10 × 166,240
  4. Step 4: Simplify right side
    300,376x = 68,909,821,424
  5. Step 5: Solve for x
    x = 68,909,821,424/300,376
  6. Step 6: Final answer
    x = 229,411.88

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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.