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Finding the Fourth Proportional to 431,062.56, 646,593.57 and 203,305.21

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Solution

The fourth proportional to 431,062.56, 646,593.57 and 203,305.21 is: 304,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,062.56 : 646,593.57 = 203,305.21 : x
  2. Step 2: Convert to fraction form
    431,062.56/646,593.57 = 203,305.21/x
  3. Step 3: Cross multiply
    431,062.56x = 646,593.57 × 203,305.21
  4. Step 4: Simplify right side
    431,062.56x = 131,455,839,917.02
  5. Step 5: Solve for x
    x = 131,455,839,917.02/431,062.56
  6. Step 6: Final answer
    x = 304,957.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.