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Finding the Fourth Proportional to 399,847.11, 599,801.64 and 133,608.54

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Solution

The fourth proportional to 399,847.11, 599,801.64 and 133,608.54 is: 200,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,847.11 : 599,801.64 = 133,608.54 : x
  2. Step 2: Convert to fraction form
    399,847.11/599,801.64 = 133,608.54/x
  3. Step 3: Cross multiply
    399,847.11x = 599,801.64 × 133,608.54
  4. Step 4: Simplify right side
    399,847.11x = 80,138,621,410.01
  5. Step 5: Solve for x
    x = 80,138,621,410.01/399,847.11
  6. Step 6: Final answer
    x = 200,423.16

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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.