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Finding the Fourth Proportional to 427,520.40, 641,430 and 267,413.64

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Solution

The fourth proportional to 427,520.40, 641,430 and 267,413.64 is: 401,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,520.40 : 641,430 = 267,413.64 : x
  2. Step 2: Convert to fraction form
    427,520.40/641,430 = 267,413.64/x
  3. Step 3: Cross multiply
    427,520.40x = 641,430 × 267,413.64
  4. Step 4: Simplify right side
    427,520.40x = 171,527,131,105.20
  5. Step 5: Solve for x
    x = 171,527,131,105.20/427,520.40
  6. Step 6: Final answer
    x = 401,213.91

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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.