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Finding the Fourth Proportional to 375,684.52, 518,439 and 205,918.96

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Solution

The fourth proportional to 375,684.52, 518,439 and 205,918.96 is: 284,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,684.52 : 518,439 = 205,918.96 : x
  2. Step 2: Convert to fraction form
    375,684.52/518,439 = 205,918.96/x
  3. Step 3: Cross multiply
    375,684.52x = 518,439 × 205,918.96
  4. Step 4: Simplify right side
    375,684.52x = 106,756,419,703.44
  5. Step 5: Solve for x
    x = 106,756,419,703.44/375,684.52
  6. Step 6: Final answer
    x = 284,165.07

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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.