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Finding the Fourth Proportional to 256,900.44, 354,641.64 and 149,431.32

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Solution

The fourth proportional to 256,900.44, 354,641.64 and 149,431.32 is: 206,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,900.44 : 354,641.64 = 149,431.32 : x
  2. Step 2: Convert to fraction form
    256,900.44/354,641.64 = 149,431.32/x
  3. Step 3: Cross multiply
    256,900.44x = 354,641.64 × 149,431.32
  4. Step 4: Simplify right side
    256,900.44x = 52,994,568,392.16
  5. Step 5: Solve for x
    x = 52,994,568,392.16/256,900.44
  6. Step 6: Final answer
    x = 206,284.46

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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.