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Finding the Fourth Proportional to 543,948.80, 816,214.80 and 228,437.60

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Solution

The fourth proportional to 543,948.80, 816,214.80 and 228,437.60 is: 342,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,948.80 : 816,214.80 = 228,437.60 : x
  2. Step 2: Convert to fraction form
    543,948.80/816,214.80 = 228,437.60/x
  3. Step 3: Cross multiply
    543,948.80x = 816,214.80 × 228,437.60
  4. Step 4: Simplify right side
    543,948.80x = 186,454,149,996.48
  5. Step 5: Solve for x
    x = 186,454,149,996.48/543,948.80
  6. Step 6: Final answer
    x = 342,778.86

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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.