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Finding the Fourth Proportional to 285,857.40, 394,507.44 and 158,574

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Solution

The fourth proportional to 285,857.40, 394,507.44 and 158,574 is: 218,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,857.40 : 394,507.44 = 158,574 : x
  2. Step 2: Convert to fraction form
    285,857.40/394,507.44 = 158,574/x
  3. Step 3: Cross multiply
    285,857.40x = 394,507.44 × 158,574
  4. Step 4: Simplify right side
    285,857.40x = 62,558,622,790.56
  5. Step 5: Solve for x
    x = 62,558,622,790.56/285,857.40
  6. Step 6: Final answer
    x = 218,845.56

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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.