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Finding the Fourth Proportional to 543,875.80, 816,105.30 and 228,364.60

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Solution

The fourth proportional to 543,875.80, 816,105.30 and 228,364.60 is: 342,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,875.80 : 816,105.30 = 228,364.60 : x
  2. Step 2: Convert to fraction form
    543,875.80/816,105.30 = 228,364.60/x
  3. Step 3: Cross multiply
    543,875.80x = 816,105.30 × 228,364.60
  4. Step 4: Simplify right side
    543,875.80x = 186,369,560,392.38
  5. Step 5: Solve for x
    x = 186,369,560,392.38/543,875.80
  6. Step 6: Final answer
    x = 342,669.34

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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.