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Finding the Fourth Proportional to 284,163.16, 426,311.40 and 84,485.20

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Solution

The fourth proportional to 284,163.16, 426,311.40 and 84,485.20 is: 126,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163.16 : 426,311.40 = 84,485.20 : x
  2. Step 2: Convert to fraction form
    284,163.16/426,311.40 = 84,485.20/x
  3. Step 3: Cross multiply
    284,163.16x = 426,311.40 × 84,485.20
  4. Step 4: Simplify right side
    284,163.16x = 36,017,003,891.28
  5. Step 5: Solve for x
    x = 36,017,003,891.28/284,163.16
  6. Step 6: Final answer
    x = 126,747.62

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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.