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Finding the Fourth Proportional to 492,589.88, 738,915.97 and 208,227.43

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Solution

The fourth proportional to 492,589.88, 738,915.97 and 208,227.43 is: 312,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,589.88 : 738,915.97 = 208,227.43 : x
  2. Step 2: Convert to fraction form
    492,589.88/738,915.97 = 208,227.43/x
  3. Step 3: Cross multiply
    492,589.88x = 738,915.97 × 208,227.43
  4. Step 4: Simplify right side
    492,589.88x = 153,862,574,212.56
  5. Step 5: Solve for x
    x = 153,862,574,212.56/492,589.88
  6. Step 6: Final answer
    x = 312,354.32

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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.