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Finding the Fourth Proportional to 284,675.52, 426,744 and 126,816.96

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Solution

The fourth proportional to 284,675.52, 426,744 and 126,816.96 is: 190,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,675.52 : 426,744 = 126,816.96 : x
  2. Step 2: Convert to fraction form
    284,675.52/426,744 = 126,816.96/x
  3. Step 3: Cross multiply
    284,675.52x = 426,744 × 126,816.96
  4. Step 4: Simplify right side
    284,675.52x = 54,118,376,778.24
  5. Step 5: Solve for x
    x = 54,118,376,778.24/284,675.52
  6. Step 6: Final answer
    x = 190,105.48

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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.