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Finding the Fourth Proportional to 312,634.35, 431,433.90 and 169,394.37

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Solution

The fourth proportional to 312,634.35, 431,433.90 and 169,394.37 is: 233,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,634.35 : 431,433.90 = 169,394.37 : x
  2. Step 2: Convert to fraction form
    312,634.35/431,433.90 = 169,394.37/x
  3. Step 3: Cross multiply
    312,634.35x = 431,433.90 × 169,394.37
  4. Step 4: Simplify right side
    312,634.35x = 73,082,473,687.14
  5. Step 5: Solve for x
    x = 73,082,473,687.14/312,634.35
  6. Step 6: Final answer
    x = 233,763.42

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1.5x scale

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.