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Finding the Fourth Proportional to 321,190.79, 443,224.00 and 177,940.46

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Solution

The fourth proportional to 321,190.79, 443,224.00 and 177,940.46 is: 245,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,190.79 : 443,224.00 = 177,940.46 : x
  2. Step 2: Convert to fraction form
    321,190.79/443,224.00 = 177,940.46/x
  3. Step 3: Cross multiply
    321,190.79x = 443,224.00 × 177,940.46
  4. Step 4: Simplify right side
    321,190.79x = 78,867,483,773.53
  5. Step 5: Solve for x
    x = 78,867,483,773.53/321,190.79
  6. Step 6: Final answer
    x = 245,547.16

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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.