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Finding the Fourth Proportional to 285,648.60, 394,181.48 and 164,828.76

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Solution

The fourth proportional to 285,648.60, 394,181.48 and 164,828.76 is: 227,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.60 : 394,181.48 = 164,828.76 : x
  2. Step 2: Convert to fraction form
    285,648.60/394,181.48 = 164,828.76/x
  3. Step 3: Cross multiply
    285,648.60x = 394,181.48 × 164,828.76
  4. Step 4: Simplify right side
    285,648.60x = 64,972,444,563.36
  5. Step 5: Solve for x
    x = 64,972,444,563.36/285,648.60
  6. Step 6: Final answer
    x = 227,455.85

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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.