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Finding the Fourth Proportional to 398,734.26, 550,254.21 and 226,653.37

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Solution

The fourth proportional to 398,734.26, 550,254.21 and 226,653.37 is: 312,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,734.26 : 550,254.21 = 226,653.37 : x
  2. Step 2: Convert to fraction form
    398,734.26/550,254.21 = 226,653.37/x
  3. Step 3: Cross multiply
    398,734.26x = 550,254.21 × 226,653.37
  4. Step 4: Simplify right side
    398,734.26x = 124,716,970,891.06
  5. Step 5: Solve for x
    x = 124,716,970,891.06/398,734.26
  6. Step 6: Final answer
    x = 312,782.18

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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.