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Finding the Fourth Proportional to 511,745.75, 767,608.12 and 227,359.21

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Solution

The fourth proportional to 511,745.75, 767,608.12 and 227,359.21 is: 341,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,745.75 : 767,608.12 = 227,359.21 : x
  2. Step 2: Convert to fraction form
    511,745.75/767,608.12 = 227,359.21/x
  3. Step 3: Cross multiply
    511,745.75x = 767,608.12 × 227,359.21
  4. Step 4: Simplify right side
    511,745.75x = 174,522,775,752.79
  5. Step 5: Solve for x
    x = 174,522,775,752.79/511,745.75
  6. Step 6: Final answer
    x = 341,034.15

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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.