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Finding the Fourth Proportional to 310,334, 428,260.92 and 169,022

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Solution

The fourth proportional to 310,334, 428,260.92 and 169,022 is: 233,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,334 : 428,260.92 = 169,022 : x
  2. Step 2: Convert to fraction form
    310,334/428,260.92 = 169,022/x
  3. Step 3: Cross multiply
    310,334x = 428,260.92 × 169,022
  4. Step 4: Simplify right side
    310,334x = 72,385,517,220.24
  5. Step 5: Solve for x
    x = 72,385,517,220.24/310,334
  6. Step 6: Final answer
    x = 233,250.36

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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.