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Finding the Fourth Proportional to 511,618.78, 767,960.46 and 376,835.04

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Solution

The fourth proportional to 511,618.78, 767,960.46 and 376,835.04 is: 565,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,618.78 : 767,960.46 = 376,835.04 : x
  2. Step 2: Convert to fraction form
    511,618.78/767,960.46 = 376,835.04/x
  3. Step 3: Cross multiply
    511,618.78x = 767,960.46 × 376,835.04
  4. Step 4: Simplify right side
    511,618.78x = 289,394,410,662.52
  5. Step 5: Solve for x
    x = 289,394,410,662.52/511,618.78
  6. Step 6: Final answer
    x = 565,644.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.