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Finding the Fourth Proportional to 284,295.68, 426,391.92 and 73,920.56

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Solution

The fourth proportional to 284,295.68, 426,391.92 and 73,920.56 is: 110,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,295.68 : 426,391.92 = 73,920.56 : x
  2. Step 2: Convert to fraction form
    284,295.68/426,391.92 = 73,920.56/x
  3. Step 3: Cross multiply
    284,295.68x = 426,391.92 × 73,920.56
  4. Step 4: Simplify right side
    284,295.68x = 31,519,129,505.88
  5. Step 5: Solve for x
    x = 31,519,129,505.88/284,295.68
  6. Step 6: Final answer
    x = 110,867.42

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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.