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Finding the Fourth Proportional to 547,998, 821,997 and 154,014

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Solution

The fourth proportional to 547,998, 821,997 and 154,014 is: 231,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,998 : 821,997 = 154,014 : x
  2. Step 2: Convert to fraction form
    547,998/821,997 = 154,014/x
  3. Step 3: Cross multiply
    547,998x = 821,997 × 154,014
  4. Step 4: Simplify right side
    547,998x = 126,599,045,958
  5. Step 5: Solve for x
    x = 126,599,045,958/547,998
  6. Step 6: Final answer
    x = 231,021

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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.