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Finding the Fourth Proportional to 321,808.45, 444,558.93 and 257,194.96

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Solution

The fourth proportional to 321,808.45, 444,558.93 and 257,194.96 is: 355,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,808.45 : 444,558.93 = 257,194.96 : x
  2. Step 2: Convert to fraction form
    321,808.45/444,558.93 = 257,194.96/x
  3. Step 3: Cross multiply
    321,808.45x = 444,558.93 × 257,194.96
  4. Step 4: Simplify right side
    321,808.45x = 114,338,316,218.99
  5. Step 5: Solve for x
    x = 114,338,316,218.99/321,808.45
  6. Step 6: Final answer
    x = 355,299.30

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1.5x scale

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.