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Finding the Fourth Proportional to 355,183.54, 490,151.64 and 202,228

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Solution

The fourth proportional to 355,183.54, 490,151.64 and 202,228 is: 279,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,183.54 : 490,151.64 = 202,228 : x
  2. Step 2: Convert to fraction form
    355,183.54/490,151.64 = 202,228/x
  3. Step 3: Cross multiply
    355,183.54x = 490,151.64 × 202,228
  4. Step 4: Simplify right side
    355,183.54x = 99,122,385,853.92
  5. Step 5: Solve for x
    x = 99,122,385,853.92/355,183.54
  6. Step 6: Final answer
    x = 279,073.70

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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.