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Finding the Fourth Proportional to 256,880.52, 354,566.34 and 149,471.34

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Solution

The fourth proportional to 256,880.52, 354,566.34 and 149,471.34 is: 206,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,880.52 : 354,566.34 = 149,471.34 : x
  2. Step 2: Convert to fraction form
    256,880.52/354,566.34 = 149,471.34/x
  3. Step 3: Cross multiply
    256,880.52x = 354,566.34 × 149,471.34
  4. Step 4: Simplify right side
    256,880.52x = 52,997,505,958.70
  5. Step 5: Solve for x
    x = 52,997,505,958.70/256,880.52
  6. Step 6: Final answer
    x = 206,311.89

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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.