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Finding the Fourth Proportional to 463,861.20, 693,718.20 and 389,211.60

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Solution

The fourth proportional to 463,861.20, 693,718.20 and 389,211.60 is: 582,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,861.20 : 693,718.20 = 389,211.60 : x
  2. Step 2: Convert to fraction form
    463,861.20/693,718.20 = 389,211.60/x
  3. Step 3: Cross multiply
    463,861.20x = 693,718.20 × 389,211.60
  4. Step 4: Simplify right side
    463,861.20x = 270,003,170,571.12
  5. Step 5: Solve for x
    x = 270,003,170,571.12/463,861.20
  6. Step 6: Final answer
    x = 582,077.51

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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.