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Finding the Fourth Proportional to 274,002, 411,003 and 77,010

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Solution

The fourth proportional to 274,002, 411,003 and 77,010 is: 115,515

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,002 : 411,003 = 77,010 : x
  2. Step 2: Convert to fraction form
    274,002/411,003 = 77,010/x
  3. Step 3: Cross multiply
    274,002x = 411,003 × 77,010
  4. Step 4: Simplify right side
    274,002x = 31,651,341,030
  5. Step 5: Solve for x
    x = 31,651,341,030/274,002
  6. Step 6: Final answer
    x = 115,515

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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.