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Finding the Fourth Proportional to 685,074.95, 945,309.84 and 394,578.47

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Solution

The fourth proportional to 685,074.95, 945,309.84 and 394,578.47 is: 544,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,074.95 : 945,309.84 = 394,578.47 : x
  2. Step 2: Convert to fraction form
    685,074.95/945,309.84 = 394,578.47/x
  3. Step 3: Cross multiply
    685,074.95x = 945,309.84 × 394,578.47
  4. Step 4: Simplify right side
    685,074.95x = 372,998,905,616.60
  5. Step 5: Solve for x
    x = 372,998,905,616.60/685,074.95
  6. Step 6: Final answer
    x = 544,464.38

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1.5x scale

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.