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Finding the Fourth Proportional to 400,285.43, 600,427.42 and 130,413.25

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Solution

The fourth proportional to 400,285.43, 600,427.42 and 130,413.25 is: 195,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,285.43 : 600,427.42 = 130,413.25 : x
  2. Step 2: Convert to fraction form
    400,285.43/600,427.42 = 130,413.25/x
  3. Step 3: Cross multiply
    400,285.43x = 600,427.42 × 130,413.25
  4. Step 4: Simplify right side
    400,285.43x = 78,303,691,231.32
  5. Step 5: Solve for x
    x = 78,303,691,231.32/400,285.43
  6. Step 6: Final answer
    x = 195,619.64

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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.