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Finding the Fourth Proportional to 285,696.98, 394,266.26 and 156,647.22

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Solution

The fourth proportional to 285,696.98, 394,266.26 and 156,647.22 is: 216,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696.98 : 394,266.26 = 156,647.22 : x
  2. Step 2: Convert to fraction form
    285,696.98/394,266.26 = 156,647.22/x
  3. Step 3: Cross multiply
    285,696.98x = 394,266.26 × 156,647.22
  4. Step 4: Simplify right side
    285,696.98x = 61,760,712,785.56
  5. Step 5: Solve for x
    x = 61,760,712,785.56/285,696.98
  6. Step 6: Final answer
    x = 216,175.59

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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.