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Finding the Fourth Proportional to 285,924.78, 394,570.17 and 158,599.26

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Solution

The fourth proportional to 285,924.78, 394,570.17 and 158,599.26 is: 218,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,924.78 : 394,570.17 = 158,599.26 : x
  2. Step 2: Convert to fraction form
    285,924.78/394,570.17 = 158,599.26/x
  3. Step 3: Cross multiply
    285,924.78x = 394,570.17 × 158,599.26
  4. Step 4: Simplify right side
    285,924.78x = 62,578,536,980.07
  5. Step 5: Solve for x
    x = 62,578,536,980.07/285,924.78
  6. Step 6: Final answer
    x = 218,863.64

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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.