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Finding the Fourth Proportional to 400,413.60, 599,745.60 and 310,965.30

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Solution

The fourth proportional to 400,413.60, 599,745.60 and 310,965.30 is: 465,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,413.60 : 599,745.60 = 310,965.30 : x
  2. Step 2: Convert to fraction form
    400,413.60/599,745.60 = 310,965.30/x
  3. Step 3: Cross multiply
    400,413.60x = 599,745.60 × 310,965.30
  4. Step 4: Simplify right side
    400,413.60x = 186,500,070,427.68
  5. Step 5: Solve for x
    x = 186,500,070,427.68/400,413.60
  6. Step 6: Final answer
    x = 465,768.57

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1.5x scale

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.