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Finding the Fourth Proportional to 354,033.72, 489,043.98 and 328,839.48

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Solution

The fourth proportional to 354,033.72, 489,043.98 and 328,839.48 is: 454,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,033.72 : 489,043.98 = 328,839.48 : x
  2. Step 2: Convert to fraction form
    354,033.72/489,043.98 = 328,839.48/x
  3. Step 3: Cross multiply
    354,033.72x = 489,043.98 × 328,839.48
  4. Step 4: Simplify right side
    354,033.72x = 160,816,968,080.33
  5. Step 5: Solve for x
    x = 160,816,968,080.33/354,033.72
  6. Step 6: Final answer
    x = 454,241.95

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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.