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Finding the Fourth Proportional to 654,161.76, 980,241 and 440,136.84

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Solution

The fourth proportional to 654,161.76, 980,241 and 440,136.84 is: 659,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,161.76 : 980,241 = 440,136.84 : x
  2. Step 2: Convert to fraction form
    654,161.76/980,241 = 440,136.84/x
  3. Step 3: Cross multiply
    654,161.76x = 980,241 × 440,136.84
  4. Step 4: Simplify right side
    654,161.76x = 431,440,176,178.44
  5. Step 5: Solve for x
    x = 431,440,176,178.44/654,161.76
  6. Step 6: Final answer
    x = 659,531.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.