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Finding the Fourth Proportional to 325,413.20, 488,119.80 and 309,861.20

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Solution

The fourth proportional to 325,413.20, 488,119.80 and 309,861.20 is: 464,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,413.20 : 488,119.80 = 309,861.20 : x
  2. Step 2: Convert to fraction form
    325,413.20/488,119.80 = 309,861.20/x
  3. Step 3: Cross multiply
    325,413.20x = 488,119.80 × 309,861.20
  4. Step 4: Simplify right side
    325,413.20x = 151,249,386,971.76
  5. Step 5: Solve for x
    x = 151,249,386,971.76/325,413.20
  6. Step 6: Final answer
    x = 464,791.80

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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.