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Finding the Fourth Proportional to 375,809.12, 518,621.68 and 206,042.88

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Solution

The fourth proportional to 375,809.12, 518,621.68 and 206,042.88 is: 284,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,809.12 : 518,621.68 = 206,042.88 : x
  2. Step 2: Convert to fraction form
    375,809.12/518,621.68 = 206,042.88/x
  3. Step 3: Cross multiply
    375,809.12x = 518,621.68 × 206,042.88
  4. Step 4: Simplify right side
    375,809.12x = 106,858,304,577.64
  5. Step 5: Solve for x
    x = 106,858,304,577.64/375,809.12
  6. Step 6: Final answer
    x = 284,341.97

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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.