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Finding the Fourth Proportional to 321,896, 444,216.48 and 208,719.56

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Solution

The fourth proportional to 321,896, 444,216.48 and 208,719.56 is: 288,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896 : 444,216.48 = 208,719.56 : x
  2. Step 2: Convert to fraction form
    321,896/444,216.48 = 208,719.56/x
  3. Step 3: Cross multiply
    321,896x = 444,216.48 × 208,719.56
  4. Step 4: Simplify right side
    321,896x = 92,716,668,250.35
  5. Step 5: Solve for x
    x = 92,716,668,250.35/321,896
  6. Step 6: Final answer
    x = 288,032.99

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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.