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Finding the Fourth Proportional to 325,830.40, 488,745.60 and 115,489.60

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Solution

The fourth proportional to 325,830.40, 488,745.60 and 115,489.60 is: 173,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,830.40 : 488,745.60 = 115,489.60 : x
  2. Step 2: Convert to fraction form
    325,830.40/488,745.60 = 115,489.60/x
  3. Step 3: Cross multiply
    325,830.40x = 488,745.60 × 115,489.60
  4. Step 4: Simplify right side
    325,830.40x = 56,445,033,845.76
  5. Step 5: Solve for x
    x = 56,445,033,845.76/325,830.40
  6. Step 6: Final answer
    x = 173,234.40

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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.