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Finding the Fourth Proportional to 256,874.35, 354,474.03 and 142,150.94

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Solution

The fourth proportional to 256,874.35, 354,474.03 and 142,150.94 is: 196,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,874.35 : 354,474.03 = 142,150.94 : x
  2. Step 2: Convert to fraction form
    256,874.35/354,474.03 = 142,150.94/x
  3. Step 3: Cross multiply
    256,874.35x = 354,474.03 × 142,150.94
  4. Step 4: Simplify right side
    256,874.35x = 50,388,816,570.09
  5. Step 5: Solve for x
    x = 50,388,816,570.09/256,874.35
  6. Step 6: Final answer
    x = 196,161.34

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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.