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Finding the Fourth Proportional to 354,791.89, 489,620.33 and 201,825.01

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Solution

The fourth proportional to 354,791.89, 489,620.33 and 201,825.01 is: 278,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,791.89 : 489,620.33 = 201,825.01 : x
  2. Step 2: Convert to fraction form
    354,791.89/489,620.33 = 201,825.01/x
  3. Step 3: Cross multiply
    354,791.89x = 489,620.33 × 201,825.01
  4. Step 4: Simplify right side
    354,791.89x = 98,817,627,998.45
  5. Step 5: Solve for x
    x = 98,817,627,998.45/354,791.89
  6. Step 6: Final answer
    x = 278,522.79

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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.