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Finding the Fourth Proportional to 368,902.64, 509,072.20 and 205,550.70

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Solution

The fourth proportional to 368,902.64, 509,072.20 and 205,550.70 is: 283,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,902.64 : 509,072.20 = 205,550.70 : x
  2. Step 2: Convert to fraction form
    368,902.64/509,072.20 = 205,550.70/x
  3. Step 3: Cross multiply
    368,902.64x = 509,072.20 × 205,550.70
  4. Step 4: Simplify right side
    368,902.64x = 104,640,147,060.54
  5. Step 5: Solve for x
    x = 104,640,147,060.54/368,902.64
  6. Step 6: Final answer
    x = 283,652.48

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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.