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Finding the Fourth Proportional to 354,894.14, 489,796.90 and 201,969.54

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Solution

The fourth proportional to 354,894.14, 489,796.90 and 201,969.54 is: 278,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,894.14 : 489,796.90 = 201,969.54 : x
  2. Step 2: Convert to fraction form
    354,894.14/489,796.90 = 201,969.54/x
  3. Step 3: Cross multiply
    354,894.14x = 489,796.90 × 201,969.54
  4. Step 4: Simplify right side
    354,894.14x = 98,924,054,081.50
  5. Step 5: Solve for x
    x = 98,924,054,081.50/354,894.14
  6. Step 6: Final answer
    x = 278,742.43

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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.