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Finding the Fourth Proportional to 354,311.82, 488,951.84 and 227,061.23

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Solution

The fourth proportional to 354,311.82, 488,951.84 and 227,061.23 is: 313,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,311.82 : 488,951.84 = 227,061.23 : x
  2. Step 2: Convert to fraction form
    354,311.82/488,951.84 = 227,061.23/x
  3. Step 3: Cross multiply
    354,311.82x = 488,951.84 × 227,061.23
  4. Step 4: Simplify right side
    354,311.82x = 111,022,004,324.06
  5. Step 5: Solve for x
    x = 111,022,004,324.06/354,311.82
  6. Step 6: Final answer
    x = 313,345.47

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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.