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Finding the Fourth Proportional to 376,062.30, 518,935.05 and 206,296.47

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Solution

The fourth proportional to 376,062.30, 518,935.05 and 206,296.47 is: 284,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,062.30 : 518,935.05 = 206,296.47 : x
  2. Step 2: Convert to fraction form
    376,062.30/518,935.05 = 206,296.47/x
  3. Step 3: Cross multiply
    376,062.30x = 518,935.05 × 206,296.47
  4. Step 4: Simplify right side
    376,062.30x = 107,054,468,974.27
  5. Step 5: Solve for x
    x = 107,054,468,974.27/376,062.30
  6. Step 6: Final answer
    x = 284,672.16

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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.