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Finding the Fourth Proportional to 378,470.83, 567,063.60 and 228,395.76

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Solution

The fourth proportional to 378,470.83, 567,063.60 and 228,395.76 is: 342,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470.83 : 567,063.60 = 228,395.76 : x
  2. Step 2: Convert to fraction form
    378,470.83/567,063.60 = 228,395.76/x
  3. Step 3: Cross multiply
    378,470.83x = 567,063.60 × 228,395.76
  4. Step 4: Simplify right side
    378,470.83x = 129,514,923,308.00
  5. Step 5: Solve for x
    x = 129,514,923,308.00/378,470.83
  6. Step 6: Final answer
    x = 342,205.83

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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.