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Finding the Fourth Proportional to 285,383.81, 393,828.67 and 164,524.52

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Solution

The fourth proportional to 285,383.81, 393,828.67 and 164,524.52 is: 227,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,383.81 : 393,828.67 = 164,524.52 : x
  2. Step 2: Convert to fraction form
    285,383.81/393,828.67 = 164,524.52/x
  3. Step 3: Cross multiply
    285,383.81x = 393,828.67 × 164,524.52
  4. Step 4: Simplify right side
    285,383.81x = 64,794,472,893.99
  5. Step 5: Solve for x
    x = 64,794,472,893.99/285,383.81
  6. Step 6: Final answer
    x = 227,043.27

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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.