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Finding the Fourth Proportional to 225,683.18, 311,653.46 and 145,250.78

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Solution

The fourth proportional to 225,683.18, 311,653.46 and 145,250.78 is: 200,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683.18 : 311,653.46 = 145,250.78 : x
  2. Step 2: Convert to fraction form
    225,683.18/311,653.46 = 145,250.78/x
  3. Step 3: Cross multiply
    225,683.18x = 311,653.46 × 145,250.78
  4. Step 4: Simplify right side
    225,683.18x = 45,267,908,154.70
  5. Step 5: Solve for x
    x = 45,267,908,154.70/225,683.18
  6. Step 6: Final answer
    x = 200,581.67

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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.