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Finding the Fourth Proportional to 355,122.78, 490,083.99 and 204,219.78

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Solution

The fourth proportional to 355,122.78, 490,083.99 and 204,219.78 is: 281,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,122.78 : 490,083.99 = 204,219.78 : x
  2. Step 2: Convert to fraction form
    355,122.78/490,083.99 = 204,219.78/x
  3. Step 3: Cross multiply
    355,122.78x = 490,083.99 × 204,219.78
  4. Step 4: Simplify right side
    355,122.78x = 100,084,844,619.32
  5. Step 5: Solve for x
    x = 100,084,844,619.32/355,122.78
  6. Step 6: Final answer
    x = 281,831.67

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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.