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Finding the Fourth Proportional to 285,630.64, 394,212.25 and 164,748.33

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Solution

The fourth proportional to 285,630.64, 394,212.25 and 164,748.33 is: 227,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,630.64 : 394,212.25 = 164,748.33 : x
  2. Step 2: Convert to fraction form
    285,630.64/394,212.25 = 164,748.33/x
  3. Step 3: Cross multiply
    285,630.64x = 394,212.25 × 164,748.33
  4. Step 4: Simplify right side
    285,630.64x = 64,945,810,058.98
  5. Step 5: Solve for x
    x = 64,945,810,058.98/285,630.64
  6. Step 6: Final answer
    x = 227,376.90

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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.