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Finding the Fourth Proportional to 285,564.88, 394,082.44 and 158,243.28

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Solution

The fourth proportional to 285,564.88, 394,082.44 and 158,243.28 is: 218,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,564.88 : 394,082.44 = 158,243.28 : x
  2. Step 2: Convert to fraction form
    285,564.88/394,082.44 = 158,243.28/x
  3. Step 3: Cross multiply
    285,564.88x = 394,082.44 × 158,243.28
  4. Step 4: Simplify right side
    285,564.88x = 62,360,897,896.00
  5. Step 5: Solve for x
    x = 62,360,897,896.00/285,564.88
  6. Step 6: Final answer
    x = 218,377.34

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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.