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Finding the Fourth Proportional to 284,219.35, 425,958.82 and 115,542.65

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Solution

The fourth proportional to 284,219.35, 425,958.82 and 115,542.65 is: 173,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,219.35 : 425,958.82 = 115,542.65 : x
  2. Step 2: Convert to fraction form
    284,219.35/425,958.82 = 115,542.65/x
  3. Step 3: Cross multiply
    284,219.35x = 425,958.82 × 115,542.65
  4. Step 4: Simplify right side
    284,219.35x = 49,216,411,629.71
  5. Step 5: Solve for x
    x = 49,216,411,629.71/284,219.35
  6. Step 6: Final answer
    x = 173,163.48

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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.