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Finding the Fourth Proportional to 378,480.68, 567,078.28 and 228,405.60

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Solution

The fourth proportional to 378,480.68, 567,078.28 and 228,405.60 is: 342,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,480.68 : 567,078.28 = 228,405.60 : x
  2. Step 2: Convert to fraction form
    378,480.68/567,078.28 = 228,405.60/x
  3. Step 3: Cross multiply
    378,480.68x = 567,078.28 × 228,405.60
  4. Step 4: Simplify right side
    378,480.68x = 129,523,854,790.37
  5. Step 5: Solve for x
    x = 129,523,854,790.37/378,480.68
  6. Step 6: Final answer
    x = 342,220.52

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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.