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Finding the Fourth Proportional to 298,772, 412,314 and 164,644.64

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Solution

The fourth proportional to 298,772, 412,314 and 164,644.64 is: 227,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,772 : 412,314 = 164,644.64 : x
  2. Step 2: Convert to fraction form
    298,772/412,314 = 164,644.64/x
  3. Step 3: Cross multiply
    298,772x = 412,314 × 164,644.64
  4. Step 4: Simplify right side
    298,772x = 67,885,290,096.96
  5. Step 5: Solve for x
    x = 67,885,290,096.96/298,772
  6. Step 6: Final answer
    x = 227,214.36

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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.