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Finding the Fourth Proportional to 311,015.71, 428,602.40 and 225,998.11

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Solution

The fourth proportional to 311,015.71, 428,602.40 and 225,998.11 is: 311,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,015.71 : 428,602.40 = 225,998.11 : x
  2. Step 2: Convert to fraction form
    311,015.71/428,602.40 = 225,998.11/x
  3. Step 3: Cross multiply
    311,015.71x = 428,602.40 × 225,998.11
  4. Step 4: Simplify right side
    311,015.71x = 96,863,330,198.45
  5. Step 5: Solve for x
    x = 96,863,330,198.45/311,015.71
  6. Step 6: Final answer
    x = 311,441.93

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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.