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Finding the Fourth Proportional to 305,849.31, 422,058.36 and 169,892.63

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Solution

The fourth proportional to 305,849.31, 422,058.36 and 169,892.63 is: 234,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,849.31 : 422,058.36 = 169,892.63 : x
  2. Step 2: Convert to fraction form
    305,849.31/422,058.36 = 169,892.63/x
  3. Step 3: Cross multiply
    305,849.31x = 422,058.36 × 169,892.63
  4. Step 4: Simplify right side
    305,849.31x = 71,704,604,793.89
  5. Step 5: Solve for x
    x = 71,704,604,793.89/305,849.31
  6. Step 6: Final answer
    x = 234,444.23

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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.