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Finding the Fourth Proportional to 423,846.48, 635,147.64 and 213,194.64

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Solution

The fourth proportional to 423,846.48, 635,147.64 and 213,194.64 is: 319,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,846.48 : 635,147.64 = 213,194.64 : x
  2. Step 2: Convert to fraction form
    423,846.48/635,147.64 = 213,194.64/x
  3. Step 3: Cross multiply
    423,846.48x = 635,147.64 × 213,194.64
  4. Step 4: Simplify right side
    423,846.48x = 135,410,072,456.65
  5. Step 5: Solve for x
    x = 135,410,072,456.65/423,846.48
  6. Step 6: Final answer
    x = 319,479.05

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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.