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Finding the Fourth Proportional to 277,990.84, 416,982.62 and 67,629

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Solution

The fourth proportional to 277,990.84, 416,982.62 and 67,629 is: 101,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,990.84 : 416,982.62 = 67,629 : x
  2. Step 2: Convert to fraction form
    277,990.84/416,982.62 = 67,629/x
  3. Step 3: Cross multiply
    277,990.84x = 416,982.62 × 67,629
  4. Step 4: Simplify right side
    277,990.84x = 28,200,117,607.98
  5. Step 5: Solve for x
    x = 28,200,117,607.98/277,990.84
  6. Step 6: Final answer
    x = 101,442.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.