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Finding the Fourth Proportional to 300,690.72, 414,953.70 and 164,721.69

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Solution

The fourth proportional to 300,690.72, 414,953.70 and 164,721.69 is: 227,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,690.72 : 414,953.70 = 164,721.69 : x
  2. Step 2: Convert to fraction form
    300,690.72/414,953.70 = 164,721.69/x
  3. Step 3: Cross multiply
    300,690.72x = 414,953.70 × 164,721.69
  4. Step 4: Simplify right side
    300,690.72x = 68,351,874,735.75
  5. Step 5: Solve for x
    x = 68,351,874,735.75/300,690.72
  6. Step 6: Final answer
    x = 227,316.21

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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.