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Finding the Fourth Proportional to 284,175.89, 426,334.46 and 84,495.97

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Solution

The fourth proportional to 284,175.89, 426,334.46 and 84,495.97 is: 126,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,175.89 : 426,334.46 = 84,495.97 : x
  2. Step 2: Convert to fraction form
    284,175.89/426,334.46 = 84,495.97/x
  3. Step 3: Cross multiply
    284,175.89x = 426,334.46 × 84,495.97
  4. Step 4: Simplify right side
    284,175.89x = 36,023,543,852.56
  5. Step 5: Solve for x
    x = 36,023,543,852.56/284,175.89
  6. Step 6: Final answer
    x = 126,764.96

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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.