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Finding the Fourth Proportional to 375,399.66, 518,059.90 and 214,251.48

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Solution

The fourth proportional to 375,399.66, 518,059.90 and 214,251.48 is: 295,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,399.66 : 518,059.90 = 214,251.48 : x
  2. Step 2: Convert to fraction form
    375,399.66/518,059.90 = 214,251.48/x
  3. Step 3: Cross multiply
    375,399.66x = 518,059.90 × 214,251.48
  4. Step 4: Simplify right side
    375,399.66x = 110,995,100,571.47
  5. Step 5: Solve for x
    x = 110,995,100,571.47/375,399.66
  6. Step 6: Final answer
    x = 295,671.82

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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.