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Finding the Fourth Proportional to 285,915.11, 394,575.75 and 158,590.70

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Solution

The fourth proportional to 285,915.11, 394,575.75 and 158,590.70 is: 218,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,915.11 : 394,575.75 = 158,590.70 : x
  2. Step 2: Convert to fraction form
    285,915.11/394,575.75 = 158,590.70/x
  3. Step 3: Cross multiply
    285,915.11x = 394,575.75 × 158,590.70
  4. Step 4: Simplify right side
    285,915.11x = 62,576,042,422.65
  5. Step 5: Solve for x
    x = 62,576,042,422.65/285,915.11
  6. Step 6: Final answer
    x = 218,862.32

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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.