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Finding the Fourth Proportional to 284,857.20, 427,285.80 and 184,473.90

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Solution

The fourth proportional to 284,857.20, 427,285.80 and 184,473.90 is: 276,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857.20 : 427,285.80 = 184,473.90 : x
  2. Step 2: Convert to fraction form
    284,857.20/427,285.80 = 184,473.90/x
  3. Step 3: Cross multiply
    284,857.20x = 427,285.80 × 184,473.90
  4. Step 4: Simplify right side
    284,857.20x = 78,823,077,940.62
  5. Step 5: Solve for x
    x = 78,823,077,940.62/284,857.20
  6. Step 6: Final answer
    x = 276,710.85

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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.