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Finding the Fourth Proportional to 312,645.44, 431,451.08 and 169,405.37

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Solution

The fourth proportional to 312,645.44, 431,451.08 and 169,405.37 is: 233,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,645.44 : 431,451.08 = 169,405.37 : x
  2. Step 2: Convert to fraction form
    312,645.44/431,451.08 = 169,405.37/x
  3. Step 3: Cross multiply
    312,645.44x = 431,451.08 × 169,405.37
  4. Step 4: Simplify right side
    312,645.44x = 73,090,129,844.30
  5. Step 5: Solve for x
    x = 73,090,129,844.30/312,645.44
  6. Step 6: Final answer
    x = 233,779.61

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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.