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Finding the Fourth Proportional to 321,240.44, 442,908.78 and 206,316.20

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Solution

The fourth proportional to 321,240.44, 442,908.78 and 206,316.20 is: 284,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,240.44 : 442,908.78 = 206,316.20 : x
  2. Step 2: Convert to fraction form
    321,240.44/442,908.78 = 206,316.20/x
  3. Step 3: Cross multiply
    321,240.44x = 442,908.78 × 206,316.20
  4. Step 4: Simplify right side
    321,240.44x = 91,379,256,436.24
  5. Step 5: Solve for x
    x = 91,379,256,436.24/321,240.44
  6. Step 6: Final answer
    x = 284,457.51

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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.