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Finding the Fourth Proportional to 682,813.56, 942,377.58 and 381,027

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Solution

The fourth proportional to 682,813.56, 942,377.58 and 381,027 is: 525,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,813.56 : 942,377.58 = 381,027 : x
  2. Step 2: Convert to fraction form
    682,813.56/942,377.58 = 381,027/x
  3. Step 3: Cross multiply
    682,813.56x = 942,377.58 × 381,027
  4. Step 4: Simplify right side
    682,813.56x = 359,071,302,174.66
  5. Step 5: Solve for x
    x = 359,071,302,174.66/682,813.56
  6. Step 6: Final answer
    x = 525,870.20

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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.