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Finding the Fourth Proportional to 375,773.40, 518,563.44 and 206,007.12

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Solution

The fourth proportional to 375,773.40, 518,563.44 and 206,007.12 is: 284,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,773.40 : 518,563.44 = 206,007.12 : x
  2. Step 2: Convert to fraction form
    375,773.40/518,563.44 = 206,007.12/x
  3. Step 3: Cross multiply
    375,773.40x = 518,563.44 × 206,007.12
  4. Step 4: Simplify right side
    375,773.40x = 106,827,760,811.69
  5. Step 5: Solve for x
    x = 106,827,760,811.69/375,773.40
  6. Step 6: Final answer
    x = 284,287.71

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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.