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Finding the Fourth Proportional to 538,136.85, 806,651.37 and 238,758.42

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Solution

The fourth proportional to 538,136.85, 806,651.37 and 238,758.42 is: 357,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,136.85 : 806,651.37 = 238,758.42 : x
  2. Step 2: Convert to fraction form
    538,136.85/806,651.37 = 238,758.42/x
  3. Step 3: Cross multiply
    538,136.85x = 806,651.37 × 238,758.42
  4. Step 4: Simplify right side
    538,136.85x = 192,594,806,592.04
  5. Step 5: Solve for x
    x = 192,594,806,592.04/538,136.85
  6. Step 6: Final answer
    x = 357,891.88

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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.