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Finding the Fourth Proportional to 397,515.33, 548,584.65 and 227,782.26

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Solution

The fourth proportional to 397,515.33, 548,584.65 and 227,782.26 is: 314,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,515.33 : 548,584.65 = 227,782.26 : x
  2. Step 2: Convert to fraction form
    397,515.33/548,584.65 = 227,782.26/x
  3. Step 3: Cross multiply
    397,515.33x = 548,584.65 × 227,782.26
  4. Step 4: Simplify right side
    397,515.33x = 124,957,851,378.31
  5. Step 5: Solve for x
    x = 124,957,851,378.31/397,515.33
  6. Step 6: Final answer
    x = 314,347.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.