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Finding the Fourth Proportional to 312,452.28, 431,181.84 and 169,209

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Solution

The fourth proportional to 312,452.28, 431,181.84 and 169,209 is: 233,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,452.28 : 431,181.84 = 169,209 : x
  2. Step 2: Convert to fraction form
    312,452.28/431,181.84 = 169,209/x
  3. Step 3: Cross multiply
    312,452.28x = 431,181.84 × 169,209
  4. Step 4: Simplify right side
    312,452.28x = 72,959,847,964.56
  5. Step 5: Solve for x
    x = 72,959,847,964.56/312,452.28
  6. Step 6: Final answer
    x = 233,507.17

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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.