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Finding the Fourth Proportional to 216,449.68, 298,714.50 and 120,956.92

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Solution

The fourth proportional to 216,449.68, 298,714.50 and 120,956.92 is: 166,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,449.68 : 298,714.50 = 120,956.92 : x
  2. Step 2: Convert to fraction form
    216,449.68/298,714.50 = 120,956.92/x
  3. Step 3: Cross multiply
    216,449.68x = 298,714.50 × 120,956.92
  4. Step 4: Simplify right side
    216,449.68x = 36,131,585,879.34
  5. Step 5: Solve for x
    x = 36,131,585,879.34/216,449.68
  6. Step 6: Final answer
    x = 166,928.34

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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.