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Finding the Fourth Proportional to 375,999.80, 518,876.16 and 206,234.60

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Solution

The fourth proportional to 375,999.80, 518,876.16 and 206,234.60 is: 284,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,999.80 : 518,876.16 = 206,234.60 : x
  2. Step 2: Convert to fraction form
    375,999.80/518,876.16 = 206,234.60/x
  3. Step 3: Cross multiply
    375,999.80x = 518,876.16 × 206,234.60
  4. Step 4: Simplify right side
    375,999.80x = 107,010,217,307.14
  5. Step 5: Solve for x
    x = 107,010,217,307.14/375,999.80
  6. Step 6: Final answer
    x = 284,601.79

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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.