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Finding the Fourth Proportional to 398,594.25, 550,081.94 and 228,839.31

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Solution

The fourth proportional to 398,594.25, 550,081.94 and 228,839.31 is: 315,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,594.25 : 550,081.94 = 228,839.31 : x
  2. Step 2: Convert to fraction form
    398,594.25/550,081.94 = 228,839.31/x
  3. Step 3: Cross multiply
    398,594.25x = 550,081.94 × 228,839.31
  4. Step 4: Simplify right side
    398,594.25x = 125,880,370,448.87
  5. Step 5: Solve for x
    x = 125,880,370,448.87/398,594.25
  6. Step 6: Final answer
    x = 315,810.80

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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.