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Finding the Fourth Proportional to 284,978.85, 427,553.88 and 85,305.75

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Solution

The fourth proportional to 284,978.85, 427,553.88 and 85,305.75 is: 127,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978.85 : 427,553.88 = 85,305.75 : x
  2. Step 2: Convert to fraction form
    284,978.85/427,553.88 = 85,305.75/x
  3. Step 3: Cross multiply
    284,978.85x = 427,553.88 × 85,305.75
  4. Step 4: Simplify right side
    284,978.85x = 36,472,804,398.81
  5. Step 5: Solve for x
    x = 36,472,804,398.81/284,978.85
  6. Step 6: Final answer
    x = 127,984.25

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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.