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Finding the Fourth Proportional to 399,661.24, 599,787.60 and 189,299.80

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Solution

The fourth proportional to 399,661.24, 599,787.60 and 189,299.80 is: 284,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,661.24 : 599,787.60 = 189,299.80 : x
  2. Step 2: Convert to fraction form
    399,661.24/599,787.60 = 189,299.80/x
  3. Step 3: Cross multiply
    399,661.24x = 599,787.60 × 189,299.80
  4. Step 4: Simplify right side
    399,661.24x = 113,539,672,722.48
  5. Step 5: Solve for x
    x = 113,539,672,722.48/399,661.24
  6. Step 6: Final answer
    x = 284,089.78

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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.