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Finding the Fourth Proportional to 327,057.79, 490,586.69 and 102,435.80

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Solution

The fourth proportional to 327,057.79, 490,586.69 and 102,435.80 is: 153,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,057.79 : 490,586.69 = 102,435.80 : x
  2. Step 2: Convert to fraction form
    327,057.79/490,586.69 = 102,435.80/x
  3. Step 3: Cross multiply
    327,057.79x = 490,586.69 × 102,435.80
  4. Step 4: Simplify right side
    327,057.79x = 50,253,640,059.50
  5. Step 5: Solve for x
    x = 50,253,640,059.50/327,057.79
  6. Step 6: Final answer
    x = 153,653.70

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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.