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Finding the Fourth Proportional to 354,942, 489,819.96 and 204,126.48

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Solution

The fourth proportional to 354,942, 489,819.96 and 204,126.48 is: 281,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,942 : 489,819.96 = 204,126.48 : x
  2. Step 2: Convert to fraction form
    354,942/489,819.96 = 204,126.48/x
  3. Step 3: Cross multiply
    354,942x = 489,819.96 × 204,126.48
  4. Step 4: Simplify right side
    354,942x = 99,985,224,268.54
  5. Step 5: Solve for x
    x = 99,985,224,268.54/354,942
  6. Step 6: Final answer
    x = 281,694.54

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1.5x scale

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.