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Finding the Fourth Proportional to 398,908.26, 550,438.94 and 229,142.39

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Solution

The fourth proportional to 398,908.26, 550,438.94 and 229,142.39 is: 316,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908.26 : 550,438.94 = 229,142.39 : x
  2. Step 2: Convert to fraction form
    398,908.26/550,438.94 = 229,142.39/x
  3. Step 3: Cross multiply
    398,908.26x = 550,438.94 × 229,142.39
  4. Step 4: Simplify right side
    398,908.26x = 126,128,892,081.33
  5. Step 5: Solve for x
    x = 126,128,892,081.33/398,908.26
  6. Step 6: Final answer
    x = 316,185.21

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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.