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Finding the Fourth Proportional to 216,470.88, 298,728 and 120,976.48

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Solution

The fourth proportional to 216,470.88, 298,728 and 120,976.48 is: 166,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,470.88 : 298,728 = 120,976.48 : x
  2. Step 2: Convert to fraction form
    216,470.88/298,728 = 120,976.48/x
  3. Step 3: Cross multiply
    216,470.88x = 298,728 × 120,976.48
  4. Step 4: Simplify right side
    216,470.88x = 36,139,061,917.44
  5. Step 5: Solve for x
    x = 36,139,061,917.44/216,470.88
  6. Step 6: Final answer
    x = 166,946.53

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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.