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Finding the Fourth Proportional to 399,824.57, 599,768.42 and 133,586.01

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Solution

The fourth proportional to 399,824.57, 599,768.42 and 133,586.01 is: 200,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,824.57 : 599,768.42 = 133,586.01 : x
  2. Step 2: Convert to fraction form
    399,824.57/599,768.42 = 133,586.01/x
  3. Step 3: Cross multiply
    399,824.57x = 599,768.42 × 133,586.01
  4. Step 4: Simplify right side
    399,824.57x = 80,120,669,483.87
  5. Step 5: Solve for x
    x = 80,120,669,483.87/399,824.57
  6. Step 6: Final answer
    x = 200,389.56

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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.