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Finding the Fourth Proportional to 354,100.92, 488,643.96 and 201,138.63

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Solution

The fourth proportional to 354,100.92, 488,643.96 and 201,138.63 is: 277,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,100.92 : 488,643.96 = 201,138.63 : x
  2. Step 2: Convert to fraction form
    354,100.92/488,643.96 = 201,138.63/x
  3. Step 3: Cross multiply
    354,100.92x = 488,643.96 × 201,138.63
  4. Step 4: Simplify right side
    354,100.92x = 98,285,176,672.17
  5. Step 5: Solve for x
    x = 98,285,176,672.17/354,100.92
  6. Step 6: Final answer
    x = 277,562.61

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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.