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Finding the Fourth Proportional to 274,000, 411,000 and 77,008

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Solution

The fourth proportional to 274,000, 411,000 and 77,008 is: 115,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,000 : 411,000 = 77,008 : x
  2. Step 2: Convert to fraction form
    274,000/411,000 = 77,008/x
  3. Step 3: Cross multiply
    274,000x = 411,000 × 77,008
  4. Step 4: Simplify right side
    274,000x = 31,650,288,000
  5. Step 5: Solve for x
    x = 31,650,288,000/274,000
  6. Step 6: Final answer
    x = 115,512

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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.