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Finding the Fourth Proportional to 274,325.82, 411,447.13 and 74,661.76

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Solution

The fourth proportional to 274,325.82, 411,447.13 and 74,661.76 is: 111,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,325.82 : 411,447.13 = 74,661.76 : x
  2. Step 2: Convert to fraction form
    274,325.82/411,447.13 = 74,661.76/x
  3. Step 3: Cross multiply
    274,325.82x = 411,447.13 × 74,661.76
  4. Step 4: Simplify right side
    274,325.82x = 30,719,366,872.75
  5. Step 5: Solve for x
    x = 30,719,366,872.75/274,325.82
  6. Step 6: Final answer
    x = 111,981.32

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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.