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Finding the Fourth Proportional to 298,920, 412,518.24 and 164,792.64

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Solution

The fourth proportional to 298,920, 412,518.24 and 164,792.64 is: 227,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,920 : 412,518.24 = 164,792.64 : x
  2. Step 2: Convert to fraction form
    298,920/412,518.24 = 164,792.64/x
  3. Step 3: Cross multiply
    298,920x = 412,518.24 × 164,792.64
  4. Step 4: Simplify right side
    298,920x = 67,979,969,817.75
  5. Step 5: Solve for x
    x = 67,979,969,817.75/298,920
  6. Step 6: Final answer
    x = 227,418.61

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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.