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Finding the Fourth Proportional to 872,256.80, 1,307,413.20 and 339,600.80

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Solution

The fourth proportional to 872,256.80, 1,307,413.20 and 339,600.80 is: 509,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,256.80 : 1,307,413.20 = 339,600.80 : x
  2. Step 2: Convert to fraction form
    872,256.80/1,307,413.20 = 339,600.80/x
  3. Step 3: Cross multiply
    872,256.80x = 1,307,413.20 × 339,600.80
  4. Step 4: Simplify right side
    872,256.80x = 443,998,568,650.56
  5. Step 5: Solve for x
    x = 443,998,568,650.56/872,256.80
  6. Step 6: Final answer
    x = 509,022.77

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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.