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Finding the Fourth Proportional to 321,750.34, 444,009.56 and 178,507.31

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Solution

The fourth proportional to 321,750.34, 444,009.56 and 178,507.31 is: 246,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,750.34 : 444,009.56 = 178,507.31 : x
  2. Step 2: Convert to fraction form
    321,750.34/444,009.56 = 178,507.31/x
  3. Step 3: Cross multiply
    321,750.34x = 444,009.56 × 178,507.31
  4. Step 4: Simplify right side
    321,750.34x = 79,258,952,169.88
  5. Step 5: Solve for x
    x = 79,258,952,169.88/321,750.34
  6. Step 6: Final answer
    x = 246,336.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.