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Finding the Fourth Proportional to 273,992, 410,988 and 77,000

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Solution

The fourth proportional to 273,992, 410,988 and 77,000 is: 115,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,992 : 410,988 = 77,000 : x
  2. Step 2: Convert to fraction form
    273,992/410,988 = 77,000/x
  3. Step 3: Cross multiply
    273,992x = 410,988 × 77,000
  4. Step 4: Simplify right side
    273,992x = 31,646,076,000
  5. Step 5: Solve for x
    x = 31,646,076,000/273,992
  6. Step 6: Final answer
    x = 115,500

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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.