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Finding the Fourth Proportional to 285,714.96, 394,250.40 and 158,389.44

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Solution

The fourth proportional to 285,714.96, 394,250.40 and 158,389.44 is: 218,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714.96 : 394,250.40 = 158,389.44 : x
  2. Step 2: Convert to fraction form
    285,714.96/394,250.40 = 158,389.44/x
  3. Step 3: Cross multiply
    285,714.96x = 394,250.40 × 158,389.44
  4. Step 4: Simplify right side
    285,714.96x = 62,445,100,075.78
  5. Step 5: Solve for x
    x = 62,445,100,075.78/285,714.96
  6. Step 6: Final answer
    x = 218,557.33

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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.