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Finding the Fourth Proportional to 354,933.26, 489,818.71 and 201,993.45

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Solution

The fourth proportional to 354,933.26, 489,818.71 and 201,993.45 is: 278,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,933.26 : 489,818.71 = 201,993.45 : x
  2. Step 2: Convert to fraction form
    354,933.26/489,818.71 = 201,993.45/x
  3. Step 3: Cross multiply
    354,933.26x = 489,818.71 × 201,993.45
  4. Step 4: Simplify right side
    354,933.26x = 98,940,169,523.12
  5. Step 5: Solve for x
    x = 98,940,169,523.12/354,933.26
  6. Step 6: Final answer
    x = 278,757.11

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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.