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Finding the Fourth Proportional to 225,942.68, 311,800.38 and 130,446.92

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Solution

The fourth proportional to 225,942.68, 311,800.38 and 130,446.92 is: 180,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,942.68 : 311,800.38 = 130,446.92 : x
  2. Step 2: Convert to fraction form
    225,942.68/311,800.38 = 130,446.92/x
  3. Step 3: Cross multiply
    225,942.68x = 311,800.38 × 130,446.92
  4. Step 4: Simplify right side
    225,942.68x = 40,673,399,225.83
  5. Step 5: Solve for x
    x = 40,673,399,225.83/225,942.68
  6. Step 6: Final answer
    x = 180,016.45

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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.