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Finding the Fourth Proportional to 256,044.40, 383,375.40 and 200,748.40

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Solution

The fourth proportional to 256,044.40, 383,375.40 and 200,748.40 is: 300,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,044.40 : 383,375.40 = 200,748.40 : x
  2. Step 2: Convert to fraction form
    256,044.40/383,375.40 = 200,748.40/x
  3. Step 3: Cross multiply
    256,044.40x = 383,375.40 × 200,748.40
  4. Step 4: Simplify right side
    256,044.40x = 76,961,998,149.36
  5. Step 5: Solve for x
    x = 76,961,998,149.36/256,044.40
  6. Step 6: Final answer
    x = 300,580.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.