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Finding the Fourth Proportional to 274,821, 412,290.30 and 85,277.22

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Solution

The fourth proportional to 274,821, 412,290.30 and 85,277.22 is: 127,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,821 : 412,290.30 = 85,277.22 : x
  2. Step 2: Convert to fraction form
    274,821/412,290.30 = 85,277.22/x
  3. Step 3: Cross multiply
    274,821x = 412,290.30 × 85,277.22
  4. Step 4: Simplify right side
    274,821x = 35,158,970,616.97
  5. Step 5: Solve for x
    x = 35,158,970,616.97/274,821
  6. Step 6: Final answer
    x = 127,934.08

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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.