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Finding the Fourth Proportional to 355,188.96, 490,161.84 and 204,276

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Solution

The fourth proportional to 355,188.96, 490,161.84 and 204,276 is: 281,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,188.96 : 490,161.84 = 204,276 : x
  2. Step 2: Convert to fraction form
    355,188.96/490,161.84 = 204,276/x
  3. Step 3: Cross multiply
    355,188.96x = 490,161.84 × 204,276
  4. Step 4: Simplify right side
    355,188.96x = 100,128,300,027.84
  5. Step 5: Solve for x
    x = 100,128,300,027.84/355,188.96
  6. Step 6: Final answer
    x = 281,901.50

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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.