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Finding the Fourth Proportional to 256,029.50, 353,120.97 and 164,157.56

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Solution

The fourth proportional to 256,029.50, 353,120.97 and 164,157.56 is: 226,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,029.50 : 353,120.97 = 164,157.56 : x
  2. Step 2: Convert to fraction form
    256,029.50/353,120.97 = 164,157.56/x
  3. Step 3: Cross multiply
    256,029.50x = 353,120.97 × 164,157.56
  4. Step 4: Simplify right side
    256,029.50x = 57,967,477,702.84
  5. Step 5: Solve for x
    x = 57,967,477,702.84/256,029.50
  6. Step 6: Final answer
    x = 226,409.37

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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.