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Finding the Fourth Proportional to 252,728.80, 348,481.40 and 206,644.66

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Solution

The fourth proportional to 252,728.80, 348,481.40 and 206,644.66 is: 284,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,728.80 : 348,481.40 = 206,644.66 : x
  2. Step 2: Convert to fraction form
    252,728.80/348,481.40 = 206,644.66/x
  3. Step 3: Cross multiply
    252,728.80x = 348,481.40 × 206,644.66
  4. Step 4: Simplify right side
    252,728.80x = 72,011,820,419.32
  5. Step 5: Solve for x
    x = 72,011,820,419.32/252,728.80
  6. Step 6: Final answer
    x = 284,937.14

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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.