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Finding the Fourth Proportional to 256,249.68, 353,623.68 and 143,071.44

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Solution

The fourth proportional to 256,249.68, 353,623.68 and 143,071.44 is: 197,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249.68 : 353,623.68 = 143,071.44 : x
  2. Step 2: Convert to fraction form
    256,249.68/353,623.68 = 143,071.44/x
  3. Step 3: Cross multiply
    256,249.68x = 353,623.68 × 143,071.44
  4. Step 4: Simplify right side
    256,249.68x = 50,593,449,115.70
  5. Step 5: Solve for x
    x = 50,593,449,115.70/256,249.68
  6. Step 6: Final answer
    x = 197,438.10

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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.