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Finding the Fourth Proportional to 321,208.78, 481,649.14 and 118,794.64

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Solution

The fourth proportional to 321,208.78, 481,649.14 and 118,794.64 is: 178,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,208.78 : 481,649.14 = 118,794.64 : x
  2. Step 2: Convert to fraction form
    321,208.78/481,649.14 = 118,794.64/x
  3. Step 3: Cross multiply
    321,208.78x = 481,649.14 × 118,794.64
  4. Step 4: Simplify right side
    321,208.78x = 57,217,336,192.61
  5. Step 5: Solve for x
    x = 57,217,336,192.61/321,208.78
  6. Step 6: Final answer
    x = 178,131.30

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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.