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Finding the Fourth Proportional to 375,691.56, 518,463.36 and 205,935

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Solution

The fourth proportional to 375,691.56, 518,463.36 and 205,935 is: 284,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,691.56 : 518,463.36 = 205,935 : x
  2. Step 2: Convert to fraction form
    375,691.56/518,463.36 = 205,935/x
  3. Step 3: Cross multiply
    375,691.56x = 518,463.36 × 205,935
  4. Step 4: Simplify right side
    375,691.56x = 106,769,752,041.60
  5. Step 5: Solve for x
    x = 106,769,752,041.60/375,691.56
  6. Step 6: Final answer
    x = 284,195.24

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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.