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Finding the Fourth Proportional to 375,906.56, 518,739.84 and 214,760.96

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Solution

The fourth proportional to 375,906.56, 518,739.84 and 214,760.96 is: 296,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,906.56 : 518,739.84 = 214,760.96 : x
  2. Step 2: Convert to fraction form
    375,906.56/518,739.84 = 214,760.96/x
  3. Step 3: Cross multiply
    375,906.56x = 518,739.84 × 214,760.96
  4. Step 4: Simplify right side
    375,906.56x = 111,405,066,028.65
  5. Step 5: Solve for x
    x = 111,405,066,028.65/375,906.56
  6. Step 6: Final answer
    x = 296,363.72

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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.