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Finding the Fourth Proportional to 399,842.91, 599,795.34 and 133,604.35

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Solution

The fourth proportional to 399,842.91, 599,795.34 and 133,604.35 is: 200,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,842.91 : 599,795.34 = 133,604.35 : x
  2. Step 2: Convert to fraction form
    399,842.91/599,795.34 = 133,604.35/x
  3. Step 3: Cross multiply
    399,842.91x = 599,795.34 × 133,604.35
  4. Step 4: Simplify right side
    399,842.91x = 80,135,266,533.73
  5. Step 5: Solve for x
    x = 80,135,266,533.73/399,842.91
  6. Step 6: Final answer
    x = 200,416.88

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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.