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Finding the Fourth Proportional to 366,449.70, 505,721.35 and 205,356.64

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Solution

The fourth proportional to 366,449.70, 505,721.35 and 205,356.64 is: 283,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,449.70 : 505,721.35 = 205,356.64 : x
  2. Step 2: Convert to fraction form
    366,449.70/505,721.35 = 205,356.64/x
  3. Step 3: Cross multiply
    366,449.70x = 505,721.35 × 205,356.64
  4. Step 4: Simplify right side
    366,449.70x = 103,853,237,997.66
  5. Step 5: Solve for x
    x = 103,853,237,997.66/366,449.70
  6. Step 6: Final answer
    x = 283,403.81

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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.