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Finding the Fourth Proportional to 394,168.96, 543,952.32 and 215,320.96

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Solution

The fourth proportional to 394,168.96, 543,952.32 and 215,320.96 is: 297,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,168.96 : 543,952.32 = 215,320.96 : x
  2. Step 2: Convert to fraction form
    394,168.96/543,952.32 = 215,320.96/x
  3. Step 3: Cross multiply
    394,168.96x = 543,952.32 × 215,320.96
  4. Step 4: Simplify right side
    394,168.96x = 117,124,335,736.63
  5. Step 5: Solve for x
    x = 117,124,335,736.63/394,168.96
  6. Step 6: Final answer
    x = 297,142.46

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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.