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Finding the Fourth Proportional to 512,413.60, 766,546.80 and 450,205.60

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Solution

The fourth proportional to 512,413.60, 766,546.80 and 450,205.60 is: 673,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,413.60 : 766,546.80 = 450,205.60 : x
  2. Step 2: Convert to fraction form
    512,413.60/766,546.80 = 450,205.60/x
  3. Step 3: Cross multiply
    512,413.60x = 766,546.80 × 450,205.60
  4. Step 4: Simplify right side
    512,413.60x = 345,103,662,022.08
  5. Step 5: Solve for x
    x = 345,103,662,022.08/512,413.60
  6. Step 6: Final answer
    x = 673,486.54

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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.