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Finding the Fourth Proportional to 285,388.46, 394,100.82 and 213,643.93

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Solution

The fourth proportional to 285,388.46, 394,100.82 and 213,643.93 is: 295,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,388.46 : 394,100.82 = 213,643.93 : x
  2. Step 2: Convert to fraction form
    285,388.46/394,100.82 = 213,643.93/x
  3. Step 3: Cross multiply
    285,388.46x = 394,100.82 × 213,643.93
  4. Step 4: Simplify right side
    285,388.46x = 84,197,247,153.84
  5. Step 5: Solve for x
    x = 84,197,247,153.84/285,388.46
  6. Step 6: Final answer
    x = 295,026.81

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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.