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Finding the Fourth Proportional to 375,686.56, 518,456.46 and 205,930

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Solution

The fourth proportional to 375,686.56, 518,456.46 and 205,930 is: 284,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,686.56 : 518,456.46 = 205,930 : x
  2. Step 2: Convert to fraction form
    375,686.56/518,456.46 = 205,930/x
  3. Step 3: Cross multiply
    375,686.56x = 518,456.46 × 205,930
  4. Step 4: Simplify right side
    375,686.56x = 106,765,738,807.80
  5. Step 5: Solve for x
    x = 106,765,738,807.80/375,686.56
  6. Step 6: Final answer
    x = 284,188.34

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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.