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Finding the Fourth Proportional to 225,353.70, 311,198.86 and 144,920.92

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Solution

The fourth proportional to 225,353.70, 311,198.86 and 144,920.92 is: 200,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,353.70 : 311,198.86 = 144,920.92 : x
  2. Step 2: Convert to fraction form
    225,353.70/311,198.86 = 144,920.92/x
  3. Step 3: Cross multiply
    225,353.70x = 311,198.86 × 144,920.92
  4. Step 4: Simplify right side
    225,353.70x = 45,099,225,094.15
  5. Step 5: Solve for x
    x = 45,099,225,094.15/225,353.70
  6. Step 6: Final answer
    x = 200,126.40

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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.