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Finding the Fourth Proportional to 366,447.06, 505,686.60 and 205,311.78

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Solution

The fourth proportional to 366,447.06, 505,686.60 and 205,311.78 is: 283,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,447.06 : 505,686.60 = 205,311.78 : x
  2. Step 2: Convert to fraction form
    366,447.06/505,686.60 = 205,311.78/x
  3. Step 3: Cross multiply
    366,447.06x = 505,686.60 × 205,311.78
  4. Step 4: Simplify right side
    366,447.06x = 103,823,415,968.15
  5. Step 5: Solve for x
    x = 103,823,415,968.15/366,447.06
  6. Step 6: Final answer
    x = 283,324.46

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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.