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Finding the Fourth Proportional to 253,378.24, 379,940.16 and 84,840.64

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Solution

The fourth proportional to 253,378.24, 379,940.16 and 84,840.64 is: 127,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,378.24 : 379,940.16 = 84,840.64 : x
  2. Step 2: Convert to fraction form
    253,378.24/379,940.16 = 84,840.64/x
  3. Step 3: Cross multiply
    253,378.24x = 379,940.16 × 84,840.64
  4. Step 4: Simplify right side
    253,378.24x = 32,234,366,336.10
  5. Step 5: Solve for x
    x = 32,234,366,336.10/253,378.24
  6. Step 6: Final answer
    x = 127,218.37

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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.