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Finding the Fourth Proportional to 298,204.98, 411,771.26 and 276,568.77

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Solution

The fourth proportional to 298,204.98, 411,771.26 and 276,568.77 is: 381,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,204.98 : 411,771.26 = 276,568.77 : x
  2. Step 2: Convert to fraction form
    298,204.98/411,771.26 = 276,568.77/x
  3. Step 3: Cross multiply
    298,204.98x = 411,771.26 × 276,568.77
  4. Step 4: Simplify right side
    298,204.98x = 113,883,069,516.71
  5. Step 5: Solve for x
    x = 113,883,069,516.71/298,204.98
  6. Step 6: Final answer
    x = 381,895.26

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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.