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Finding the Fourth Proportional to 386,754.56, 533,712.98 and 214,662.46

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Solution

The fourth proportional to 386,754.56, 533,712.98 and 214,662.46 is: 296,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,754.56 : 533,712.98 = 214,662.46 : x
  2. Step 2: Convert to fraction form
    386,754.56/533,712.98 = 214,662.46/x
  3. Step 3: Cross multiply
    386,754.56x = 533,712.98 × 214,662.46
  4. Step 4: Simplify right side
    386,754.56x = 114,568,141,220.73
  5. Step 5: Solve for x
    x = 114,568,141,220.73/386,754.56
  6. Step 6: Final answer
    x = 296,229.58

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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.