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Finding the Fourth Proportional to 508,268.34, 762,428.43 and 192,751.38

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Solution

The fourth proportional to 508,268.34, 762,428.43 and 192,751.38 is: 289,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,268.34 : 762,428.43 = 192,751.38 : x
  2. Step 2: Convert to fraction form
    508,268.34/762,428.43 = 192,751.38/x
  3. Step 3: Cross multiply
    508,268.34x = 762,428.43 × 192,751.38
  4. Step 4: Simplify right side
    508,268.34x = 146,959,132,033.73
  5. Step 5: Solve for x
    x = 146,959,132,033.73/508,268.34
  6. Step 6: Final answer
    x = 289,136.90

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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.