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Finding the Fourth Proportional to 378,470.96, 567,063.78 and 228,395.90

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Solution

The fourth proportional to 378,470.96, 567,063.78 and 228,395.90 is: 342,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470.96 : 567,063.78 = 228,395.90 : x
  2. Step 2: Convert to fraction form
    378,470.96/567,063.78 = 228,395.90/x
  3. Step 3: Cross multiply
    378,470.96x = 567,063.78 × 228,395.90
  4. Step 4: Simplify right side
    378,470.96x = 129,515,042,390.50
  5. Step 5: Solve for x
    x = 129,515,042,390.50/378,470.96
  6. Step 6: Final answer
    x = 342,206.02

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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.