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Finding the Fourth Proportional to 278,073, 383,738.46 and 150,745.32

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Solution

The fourth proportional to 278,073, 383,738.46 and 150,745.32 is: 208,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,073 : 383,738.46 = 150,745.32 : x
  2. Step 2: Convert to fraction form
    278,073/383,738.46 = 150,745.32/x
  3. Step 3: Cross multiply
    278,073x = 383,738.46 × 150,745.32
  4. Step 4: Simplify right side
    278,073x = 57,846,776,949.01
  5. Step 5: Solve for x
    x = 57,846,776,949.01/278,073
  6. Step 6: Final answer
    x = 208,027.31

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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.