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Finding the Fourth Proportional to 376,000.88, 518,914.48 and 206,268.08

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Solution

The fourth proportional to 376,000.88, 518,914.48 and 206,268.08 is: 284,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,000.88 : 518,914.48 = 206,268.08 : x
  2. Step 2: Convert to fraction form
    376,000.88/518,914.48 = 206,268.08/x
  3. Step 3: Cross multiply
    376,000.88x = 518,914.48 × 206,268.08
  4. Step 4: Simplify right side
    376,000.88x = 107,035,493,473.80
  5. Step 5: Solve for x
    x = 107,035,493,473.80/376,000.88
  6. Step 6: Final answer
    x = 284,668.20

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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.