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Finding the Fourth Proportional to 274,004, 411,006 and 77,012

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Solution

The fourth proportional to 274,004, 411,006 and 77,012 is: 115,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,004 : 411,006 = 77,012 : x
  2. Step 2: Convert to fraction form
    274,004/411,006 = 77,012/x
  3. Step 3: Cross multiply
    274,004x = 411,006 × 77,012
  4. Step 4: Simplify right side
    274,004x = 31,652,394,072
  5. Step 5: Solve for x
    x = 31,652,394,072/274,004
  6. Step 6: Final answer
    x = 115,518

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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.