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Finding the Fourth Proportional to 398,735.76, 550,256.28 and 226,654.88

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Solution

The fourth proportional to 398,735.76, 550,256.28 and 226,654.88 is: 312,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,735.76 : 550,256.28 = 226,654.88 : x
  2. Step 2: Convert to fraction form
    398,735.76/550,256.28 = 226,654.88/x
  3. Step 3: Cross multiply
    398,735.76x = 550,256.28 × 226,654.88
  4. Step 4: Simplify right side
    398,735.76x = 124,718,268,361.37
  5. Step 5: Solve for x
    x = 124,718,268,361.37/398,735.76
  6. Step 6: Final answer
    x = 312,784.26

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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.