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Finding the Fourth Proportional to 312,709.42, 431,539.37 and 169,469.46

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Solution

The fourth proportional to 312,709.42, 431,539.37 and 169,469.46 is: 233,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,709.42 : 431,539.37 = 169,469.46 : x
  2. Step 2: Convert to fraction form
    312,709.42/431,539.37 = 169,469.46/x
  3. Step 3: Cross multiply
    312,709.42x = 431,539.37 × 169,469.46
  4. Step 4: Simplify right side
    312,709.42x = 73,132,744,002.64
  5. Step 5: Solve for x
    x = 73,132,744,002.64/312,709.42
  6. Step 6: Final answer
    x = 233,868.06

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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.