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Finding the Fourth Proportional to 321,113.71, 443,136.90 and 177,883.03

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Solution

The fourth proportional to 321,113.71, 443,136.90 and 177,883.03 is: 245,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,113.71 : 443,136.90 = 177,883.03 : x
  2. Step 2: Convert to fraction form
    321,113.71/443,136.90 = 177,883.03/x
  3. Step 3: Cross multiply
    321,113.71x = 443,136.90 × 177,883.03
  4. Step 4: Simplify right side
    321,113.71x = 78,826,534,476.81
  5. Step 5: Solve for x
    x = 78,826,534,476.81/321,113.71
  6. Step 6: Final answer
    x = 245,478.57

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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.