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Finding the Fourth Proportional to 311,993.37, 430,549.22 and 168,753.04

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Solution

The fourth proportional to 311,993.37, 430,549.22 and 168,753.04 is: 232,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,993.37 : 430,549.22 = 168,753.04 : x
  2. Step 2: Convert to fraction form
    311,993.37/430,549.22 = 168,753.04/x
  3. Step 3: Cross multiply
    311,993.37x = 430,549.22 × 168,753.04
  4. Step 4: Simplify right side
    311,993.37x = 72,656,489,090.14
  5. Step 5: Solve for x
    x = 72,656,489,090.14/311,993.37
  6. Step 6: Final answer
    x = 232,878.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.