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Finding the Fourth Proportional to 376,053, 518,953.16 and 206,287.52

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Solution

The fourth proportional to 376,053, 518,953.16 and 206,287.52 is: 284,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,053 : 518,953.16 = 206,287.52 : x
  2. Step 2: Convert to fraction form
    376,053/518,953.16 = 206,287.52/x
  3. Step 3: Cross multiply
    376,053x = 518,953.16 × 206,287.52
  4. Step 4: Simplify right side
    376,053x = 107,053,560,372.56
  5. Step 5: Solve for x
    x = 107,053,560,372.56/376,053
  6. Step 6: Final answer
    x = 284,676.79

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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.