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Finding the Fourth Proportional to 216,413.28, 298,629 and 120,917.88

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Solution

The fourth proportional to 216,413.28, 298,629 and 120,917.88 is: 166,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,413.28 : 298,629 = 120,917.88 : x
  2. Step 2: Convert to fraction form
    216,413.28/298,629 = 120,917.88/x
  3. Step 3: Cross multiply
    216,413.28x = 298,629 × 120,917.88
  4. Step 4: Simplify right side
    216,413.28x = 36,109,585,586.52
  5. Step 5: Solve for x
    x = 36,109,585,586.52/216,413.28
  6. Step 6: Final answer
    x = 166,854.76

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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.