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Finding the Fourth Proportional to 489,974.44, 676,147.62 and 299,306.92

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Solution

The fourth proportional to 489,974.44, 676,147.62 and 299,306.92 is: 413,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,974.44 : 676,147.62 = 299,306.92 : x
  2. Step 2: Convert to fraction form
    489,974.44/676,147.62 = 299,306.92/x
  3. Step 3: Cross multiply
    489,974.44x = 676,147.62 × 299,306.92
  4. Step 4: Simplify right side
    489,974.44x = 202,375,661,607.53
  5. Step 5: Solve for x
    x = 202,375,661,607.53/489,974.44
  6. Step 6: Final answer
    x = 413,033.10

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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.