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Finding the Fourth Proportional to 511,099.20, 766,067.40 and 310,978.44

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Solution

The fourth proportional to 511,099.20, 766,067.40 and 310,978.44 is: 466,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,099.20 : 766,067.40 = 310,978.44 : x
  2. Step 2: Convert to fraction form
    511,099.20/766,067.40 = 310,978.44/x
  3. Step 3: Cross multiply
    511,099.20x = 766,067.40 × 310,978.44
  4. Step 4: Simplify right side
    511,099.20x = 238,230,444,986.86
  5. Step 5: Solve for x
    x = 238,230,444,986.86/511,099.20
  6. Step 6: Final answer
    x = 466,113.91

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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.