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Finding the Fourth Proportional to 284,890.56, 427,201.20 and 85,141.20

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Solution

The fourth proportional to 284,890.56, 427,201.20 and 85,141.20 is: 127,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,890.56 : 427,201.20 = 85,141.20 : x
  2. Step 2: Convert to fraction form
    284,890.56/427,201.20 = 85,141.20/x
  3. Step 3: Cross multiply
    284,890.56x = 427,201.20 × 85,141.20
  4. Step 4: Simplify right side
    284,890.56x = 36,372,422,809.44
  5. Step 5: Solve for x
    x = 36,372,422,809.44/284,890.56
  6. Step 6: Final answer
    x = 127,671.56

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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.