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Finding the Fourth Proportional to 543,853.80, 816,072.30 and 228,342.60

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Solution

The fourth proportional to 543,853.80, 816,072.30 and 228,342.60 is: 342,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,853.80 : 816,072.30 = 228,342.60 : x
  2. Step 2: Convert to fraction form
    543,853.80/816,072.30 = 228,342.60/x
  3. Step 3: Cross multiply
    543,853.80x = 816,072.30 × 228,342.60
  4. Step 4: Simplify right side
    543,853.80x = 186,344,070,769.98
  5. Step 5: Solve for x
    x = 186,344,070,769.98/543,853.80
  6. Step 6: Final answer
    x = 342,636.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.