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Finding the Fourth Proportional to 398,755.26, 550,283.22 and 226,674.36

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Solution

The fourth proportional to 398,755.26, 550,283.22 and 226,674.36 is: 312,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,755.26 : 550,283.22 = 226,674.36 : x
  2. Step 2: Convert to fraction form
    398,755.26/550,283.22 = 226,674.36/x
  3. Step 3: Cross multiply
    398,755.26x = 550,283.22 × 226,674.36
  4. Step 4: Simplify right side
    398,755.26x = 124,735,096,712.24
  5. Step 5: Solve for x
    x = 124,735,096,712.24/398,755.26
  6. Step 6: Final answer
    x = 312,811.16

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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.