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Finding the Fourth Proportional to 253,989.30, 380,957.22 and 104,245.44

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Solution

The fourth proportional to 253,989.30, 380,957.22 and 104,245.44 is: 156,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,989.30 : 380,957.22 = 104,245.44 : x
  2. Step 2: Convert to fraction form
    253,989.30/380,957.22 = 104,245.44/x
  3. Step 3: Cross multiply
    253,989.30x = 380,957.22 × 104,245.44
  4. Step 4: Simplify right side
    253,989.30x = 39,713,053,020.08
  5. Step 5: Solve for x
    x = 39,713,053,020.08/253,989.30
  6. Step 6: Final answer
    x = 156,357.19

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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.