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Finding the Fourth Proportional to 436,399.84, 654,614.88 and 120,880

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Solution

The fourth proportional to 436,399.84, 654,614.88 and 120,880 is: 181,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,399.84 : 654,614.88 = 120,880 : x
  2. Step 2: Convert to fraction form
    436,399.84/654,614.88 = 120,880/x
  3. Step 3: Cross multiply
    436,399.84x = 654,614.88 × 120,880
  4. Step 4: Simplify right side
    436,399.84x = 79,129,846,694.40
  5. Step 5: Solve for x
    x = 79,129,846,694.40/436,399.84
  6. Step 6: Final answer
    x = 181,324.19

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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.