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Finding the Fourth Proportional to 225,676.39, 311,419.05 and 123,683.83

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Solution

The fourth proportional to 225,676.39, 311,419.05 and 123,683.83 is: 170,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,676.39 : 311,419.05 = 123,683.83 : x
  2. Step 2: Convert to fraction form
    225,676.39/311,419.05 = 123,683.83/x
  3. Step 3: Cross multiply
    225,676.39x = 311,419.05 × 123,683.83
  4. Step 4: Simplify right side
    225,676.39x = 38,517,500,838.96
  5. Step 5: Solve for x
    x = 38,517,500,838.96/225,676.39
  6. Step 6: Final answer
    x = 170,675.81

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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.