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Finding the Fourth Proportional to 449,933.28, 620,662.32 and 288,608.88

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Solution

The fourth proportional to 449,933.28, 620,662.32 and 288,608.88 is: 398,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,933.28 : 620,662.32 = 288,608.88 : x
  2. Step 2: Convert to fraction form
    449,933.28/620,662.32 = 288,608.88/x
  3. Step 3: Cross multiply
    449,933.28x = 620,662.32 × 288,608.88
  4. Step 4: Simplify right side
    449,933.28x = 179,128,657,033.40
  5. Step 5: Solve for x
    x = 179,128,657,033.40/449,933.28
  6. Step 6: Final answer
    x = 398,122.71

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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.