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Finding the Fourth Proportional to 412,568, 569,343.84 and 233,720

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Solution

The fourth proportional to 412,568, 569,343.84 and 233,720 is: 322,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,568 : 569,343.84 = 233,720 : x
  2. Step 2: Convert to fraction form
    412,568/569,343.84 = 233,720/x
  3. Step 3: Cross multiply
    412,568x = 569,343.84 × 233,720
  4. Step 4: Simplify right side
    412,568x = 133,067,042,284.80
  5. Step 5: Solve for x
    x = 133,067,042,284.80/412,568
  6. Step 6: Final answer
    x = 322,533.60

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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.