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Finding the Fourth Proportional to 274,328.82, 411,451.62 and 74,664.76

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Solution

The fourth proportional to 274,328.82, 411,451.62 and 74,664.76 is: 111,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,328.82 : 411,451.62 = 74,664.76 : x
  2. Step 2: Convert to fraction form
    274,328.82/411,451.62 = 74,664.76/x
  3. Step 3: Cross multiply
    274,328.82x = 411,451.62 × 74,664.76
  4. Step 4: Simplify right side
    274,328.82x = 30,720,936,458.91
  5. Step 5: Solve for x
    x = 30,720,936,458.91/274,328.82
  6. Step 6: Final answer
    x = 111,985.81

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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.