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Finding the Fourth Proportional to 284,506.44, 426,781.44 and 84,811.56

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Solution

The fourth proportional to 284,506.44, 426,781.44 and 84,811.56 is: 127,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,506.44 : 426,781.44 = 84,811.56 : x
  2. Step 2: Convert to fraction form
    284,506.44/426,781.44 = 84,811.56/x
  3. Step 3: Cross multiply
    284,506.44x = 426,781.44 × 84,811.56
  4. Step 4: Simplify right side
    284,506.44x = 36,195,999,705.45
  5. Step 5: Solve for x
    x = 36,195,999,705.45/284,506.44
  6. Step 6: Final answer
    x = 127,223.83

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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.