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Finding the Fourth Proportional to 682,871.84, 942,357.76 and 396,418.56

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Solution

The fourth proportional to 682,871.84, 942,357.76 and 396,418.56 is: 547,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,871.84 : 942,357.76 = 396,418.56 : x
  2. Step 2: Convert to fraction form
    682,871.84/942,357.76 = 396,418.56/x
  3. Step 3: Cross multiply
    682,871.84x = 942,357.76 × 396,418.56
  4. Step 4: Simplify right side
    682,871.84x = 373,568,106,224.03
  5. Step 5: Solve for x
    x = 373,568,106,224.03/682,871.84
  6. Step 6: Final answer
    x = 547,054.49

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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.