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Finding the Fourth Proportional to 543,954.80, 816,223.80 and 228,443.60

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Solution

The fourth proportional to 543,954.80, 816,223.80 and 228,443.60 is: 342,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,954.80 : 816,223.80 = 228,443.60 : x
  2. Step 2: Convert to fraction form
    543,954.80/816,223.80 = 228,443.60/x
  3. Step 3: Cross multiply
    543,954.80x = 816,223.80 × 228,443.60
  4. Step 4: Simplify right side
    543,954.80x = 186,461,103,277.68
  5. Step 5: Solve for x
    x = 186,461,103,277.68/543,954.80
  6. Step 6: Final answer
    x = 342,787.86

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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.