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Finding the Fourth Proportional to 285,285, 393,597.93 and 164,424.09

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Solution

The fourth proportional to 285,285, 393,597.93 and 164,424.09 is: 226,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,285 : 393,597.93 = 164,424.09 : x
  2. Step 2: Convert to fraction form
    285,285/393,597.93 = 164,424.09/x
  3. Step 3: Cross multiply
    285,285x = 393,597.93 × 164,424.09
  4. Step 4: Simplify right side
    285,285x = 64,716,981,466.13
  5. Step 5: Solve for x
    x = 64,716,981,466.13/285,285
  6. Step 6: Final answer
    x = 226,850.28

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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.