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Finding the Fourth Proportional to 312,458.28, 431,190 and 169,215

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Solution

The fourth proportional to 312,458.28, 431,190 and 169,215 is: 233,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458.28 : 431,190 = 169,215 : x
  2. Step 2: Convert to fraction form
    312,458.28/431,190 = 169,215/x
  3. Step 3: Cross multiply
    312,458.28x = 431,190 × 169,215
  4. Step 4: Simplify right side
    312,458.28x = 72,963,815,850
  5. Step 5: Solve for x
    x = 72,963,815,850/312,458.28
  6. Step 6: Final answer
    x = 233,515.39

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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.