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Finding the Fourth Proportional to 412,010.40, 618,015.60 and 254,546.40

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Solution

The fourth proportional to 412,010.40, 618,015.60 and 254,546.40 is: 381,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,010.40 : 618,015.60 = 254,546.40 : x
  2. Step 2: Convert to fraction form
    412,010.40/618,015.60 = 254,546.40/x
  3. Step 3: Cross multiply
    412,010.40x = 618,015.60 × 254,546.40
  4. Step 4: Simplify right side
    412,010.40x = 157,313,646,123.84
  5. Step 5: Solve for x
    x = 157,313,646,123.84/412,010.40
  6. Step 6: Final answer
    x = 381,819.60

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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.