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Finding the Fourth Proportional to 394,041.90, 543,408.75 and 313,734.54

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Solution

The fourth proportional to 394,041.90, 543,408.75 and 313,734.54 is: 432,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,041.90 : 543,408.75 = 313,734.54 : x
  2. Step 2: Convert to fraction form
    394,041.90/543,408.75 = 313,734.54/x
  3. Step 3: Cross multiply
    394,041.90x = 543,408.75 × 313,734.54
  4. Step 4: Simplify right side
    394,041.90x = 170,486,094,213.23
  5. Step 5: Solve for x
    x = 170,486,094,213.23/394,041.90
  6. Step 6: Final answer
    x = 432,659.81

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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.