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Finding the Fourth Proportional to 323,998.92, 447,119.80 and 180,765

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Solution

The fourth proportional to 323,998.92, 447,119.80 and 180,765 is: 249,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,998.92 : 447,119.80 = 180,765 : x
  2. Step 2: Convert to fraction form
    323,998.92/447,119.80 = 180,765/x
  3. Step 3: Cross multiply
    323,998.92x = 447,119.80 × 180,765
  4. Step 4: Simplify right side
    323,998.92x = 80,823,610,195.09
  5. Step 5: Solve for x
    x = 80,823,610,195.09/323,998.92
  6. Step 6: Final answer
    x = 249,456.42

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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.