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Finding the Fourth Proportional to 285,735.16, 394,316.09 and 164,881.54

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Solution

The fourth proportional to 285,735.16, 394,316.09 and 164,881.54 is: 227,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,735.16 : 394,316.09 = 164,881.54 : x
  2. Step 2: Convert to fraction form
    285,735.16/394,316.09 = 164,881.54/x
  3. Step 3: Cross multiply
    285,735.16x = 394,316.09 × 164,881.54
  4. Step 4: Simplify right side
    285,735.16x = 65,015,444,165.98
  5. Step 5: Solve for x
    x = 65,015,444,165.98/285,735.16
  6. Step 6: Final answer
    x = 227,537.43

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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.