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Finding the Fourth Proportional to 399,846.11, 599,800.14 and 133,607.54

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Solution

The fourth proportional to 399,846.11, 599,800.14 and 133,607.54 is: 200,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,846.11 : 599,800.14 = 133,607.54 : x
  2. Step 2: Convert to fraction form
    399,846.11/599,800.14 = 133,607.54/x
  3. Step 3: Cross multiply
    399,846.11x = 599,800.14 × 133,607.54
  4. Step 4: Simplify right side
    399,846.11x = 80,137,822,696.56
  5. Step 5: Solve for x
    x = 80,137,822,696.56/399,846.11
  6. Step 6: Final answer
    x = 200,421.67

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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.