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Finding the Fourth Proportional to 256,523.90, 384,450.30 and 137,939.90

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Solution

The fourth proportional to 256,523.90, 384,450.30 and 137,939.90 is: 206,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.90 : 384,450.30 = 137,939.90 : x
  2. Step 2: Convert to fraction form
    256,523.90/384,450.30 = 137,939.90/x
  3. Step 3: Cross multiply
    256,523.90x = 384,450.30 × 137,939.90
  4. Step 4: Simplify right side
    256,523.90x = 53,031,035,936.97
  5. Step 5: Solve for x
    x = 53,031,035,936.97/256,523.90
  6. Step 6: Final answer
    x = 206,729.42

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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.