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Finding the Fourth Proportional to 285,809.16, 394,388.22 and 164,989.37

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Solution

The fourth proportional to 285,809.16, 394,388.22 and 164,989.37 is: 227,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,809.16 : 394,388.22 = 164,989.37 : x
  2. Step 2: Convert to fraction form
    285,809.16/394,388.22 = 164,989.37/x
  3. Step 3: Cross multiply
    285,809.16x = 394,388.22 × 164,989.37
  4. Step 4: Simplify right side
    285,809.16x = 65,069,863,953.22
  5. Step 5: Solve for x
    x = 65,069,863,953.22/285,809.16
  6. Step 6: Final answer
    x = 227,668.92

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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.