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Finding the Fourth Proportional to 327,023.70, 490,608.45 and 256,164.90

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Solution

The fourth proportional to 327,023.70, 490,608.45 and 256,164.90 is: 384,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,023.70 : 490,608.45 = 256,164.90 : x
  2. Step 2: Convert to fraction form
    327,023.70/490,608.45 = 256,164.90/x
  3. Step 3: Cross multiply
    327,023.70x = 490,608.45 × 256,164.90
  4. Step 4: Simplify right side
    327,023.70x = 125,676,664,533.41
  5. Step 5: Solve for x
    x = 125,676,664,533.41/327,023.70
  6. Step 6: Final answer
    x = 384,304.45

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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.