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Finding the Fourth Proportional to 323,971.89, 447,079.84 and 180,732.06

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Solution

The fourth proportional to 323,971.89, 447,079.84 and 180,732.06 is: 249,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,971.89 : 447,079.84 = 180,732.06 : x
  2. Step 2: Convert to fraction form
    323,971.89/447,079.84 = 180,732.06/x
  3. Step 3: Cross multiply
    323,971.89x = 447,079.84 × 180,732.06
  4. Step 4: Simplify right side
    323,971.89x = 80,801,660,015.84
  5. Step 5: Solve for x
    x = 80,801,660,015.84/323,971.89
  6. Step 6: Final answer
    x = 249,409.48

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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.