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Finding the Fourth Proportional to 245,200.96, 338,413.92 and 149,762.56

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Solution

The fourth proportional to 245,200.96, 338,413.92 and 149,762.56 is: 206,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,200.96 : 338,413.92 = 149,762.56 : x
  2. Step 2: Convert to fraction form
    245,200.96/338,413.92 = 149,762.56/x
  3. Step 3: Cross multiply
    245,200.96x = 338,413.92 × 149,762.56
  4. Step 4: Simplify right side
    245,200.96x = 50,681,734,998.84
  5. Step 5: Solve for x
    x = 50,681,734,998.84/245,200.96
  6. Step 6: Final answer
    x = 206,694.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.