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Finding the Fourth Proportional to 412,660, 569,479.44 and 233,812

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Solution

The fourth proportional to 412,660, 569,479.44 and 233,812 is: 322,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,660 : 569,479.44 = 233,812 : x
  2. Step 2: Convert to fraction form
    412,660/569,479.44 = 233,812/x
  3. Step 3: Cross multiply
    412,660x = 569,479.44 × 233,812
  4. Step 4: Simplify right side
    412,660x = 133,151,126,825.28
  5. Step 5: Solve for x
    x = 133,151,126,825.28/412,660
  6. Step 6: Final answer
    x = 322,665.46

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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.