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Finding the Fourth Proportional to 398,596.25, 550,084.70 and 228,841.31

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Solution

The fourth proportional to 398,596.25, 550,084.70 and 228,841.31 is: 315,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,596.25 : 550,084.70 = 228,841.31 : x
  2. Step 2: Convert to fraction form
    398,596.25/550,084.70 = 228,841.31/x
  3. Step 3: Cross multiply
    398,596.25x = 550,084.70 × 228,841.31
  4. Step 4: Simplify right side
    398,596.25x = 125,882,103,358.96
  5. Step 5: Solve for x
    x = 125,882,103,358.96/398,596.25
  6. Step 6: Final answer
    x = 315,813.57

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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.