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Finding the Fourth Proportional to 398,765.75, 550,274.83 and 226,659.79

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Solution

The fourth proportional to 398,765.75, 550,274.83 and 226,659.79 is: 312,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,765.75 : 550,274.83 = 226,659.79 : x
  2. Step 2: Convert to fraction form
    398,765.75/550,274.83 = 226,659.79/x
  3. Step 3: Cross multiply
    398,765.75x = 550,274.83 × 226,659.79
  4. Step 4: Simplify right side
    398,765.75x = 124,725,175,710.95
  5. Step 5: Solve for x
    x = 124,725,175,710.95/398,765.75
  6. Step 6: Final answer
    x = 312,778.05

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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.