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Finding the Fourth Proportional to 206,076.94, 310,755.06 and 203,266.64

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Solution

The fourth proportional to 206,076.94, 310,755.06 and 203,266.64 is: 306,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.94 : 310,755.06 = 203,266.64 : x
  2. Step 2: Convert to fraction form
    206,076.94/310,755.06 = 203,266.64/x
  3. Step 3: Cross multiply
    206,076.94x = 310,755.06 × 203,266.64
  4. Step 4: Simplify right side
    206,076.94x = 63,166,136,909.20
  5. Step 5: Solve for x
    x = 63,166,136,909.20/206,076.94
  6. Step 6: Final answer
    x = 306,517.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.