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Finding the Fourth Proportional to 321,903.36, 444,223.28 and 178,664.64

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Solution

The fourth proportional to 321,903.36, 444,223.28 and 178,664.64 is: 246,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,903.36 : 444,223.28 = 178,664.64 : x
  2. Step 2: Convert to fraction form
    321,903.36/444,223.28 = 178,664.64/x
  3. Step 3: Cross multiply
    321,903.36x = 444,223.28 × 178,664.64
  4. Step 4: Simplify right side
    321,903.36x = 79,366,992,400.82
  5. Step 5: Solve for x
    x = 79,366,992,400.82/321,903.36
  6. Step 6: Final answer
    x = 246,555.34

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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.