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Finding the Fourth Proportional to 547,992, 821,988 and 154,008

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Solution

The fourth proportional to 547,992, 821,988 and 154,008 is: 231,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,992 : 821,988 = 154,008 : x
  2. Step 2: Convert to fraction form
    547,992/821,988 = 154,008/x
  3. Step 3: Cross multiply
    547,992x = 821,988 × 154,008
  4. Step 4: Simplify right side
    547,992x = 126,592,727,904
  5. Step 5: Solve for x
    x = 126,592,727,904/547,992
  6. Step 6: Final answer
    x = 231,012

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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.