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Finding the Fourth Proportional to 505,814.05, 698,022.29 and 276,372.97

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Solution

The fourth proportional to 505,814.05, 698,022.29 and 276,372.97 is: 381,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,814.05 : 698,022.29 = 276,372.97 : x
  2. Step 2: Convert to fraction form
    505,814.05/698,022.29 = 276,372.97/x
  3. Step 3: Cross multiply
    505,814.05x = 698,022.29 × 276,372.97
  4. Step 4: Simplify right side
    505,814.05x = 192,914,493,413.50
  5. Step 5: Solve for x
    x = 192,914,493,413.50/505,814.05
  6. Step 6: Final answer
    x = 381,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.