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Finding the Fourth Proportional to 300,253.06, 414,349 and 164,287.90

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Solution

The fourth proportional to 300,253.06, 414,349 and 164,287.90 is: 226,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,253.06 : 414,349 = 164,287.90 : x
  2. Step 2: Convert to fraction form
    300,253.06/414,349 = 164,287.90/x
  3. Step 3: Cross multiply
    300,253.06x = 414,349 × 164,287.90
  4. Step 4: Simplify right side
    300,253.06x = 68,072,527,077.10
  5. Step 5: Solve for x
    x = 68,072,527,077.10/300,253.06
  6. Step 6: Final answer
    x = 226,717.18

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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.