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Finding the Fourth Proportional to 547,984, 821,976 and 154,000

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Solution

The fourth proportional to 547,984, 821,976 and 154,000 is: 231,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,984 : 821,976 = 154,000 : x
  2. Step 2: Convert to fraction form
    547,984/821,976 = 154,000/x
  3. Step 3: Cross multiply
    547,984x = 821,976 × 154,000
  4. Step 4: Simplify right side
    547,984x = 126,584,304,000
  5. Step 5: Solve for x
    x = 126,584,304,000/547,984
  6. Step 6: Final answer
    x = 231,000

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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.