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Finding the Fourth Proportional to 356,321.82, 491,731.93 and 203,356.97

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Solution

The fourth proportional to 356,321.82, 491,731.93 and 203,356.97 is: 280,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,321.82 : 491,731.93 = 203,356.97 : x
  2. Step 2: Convert to fraction form
    356,321.82/491,731.93 = 203,356.97/x
  3. Step 3: Cross multiply
    356,321.82x = 491,731.93 × 203,356.97
  4. Step 4: Simplify right side
    356,321.82x = 99,997,115,337.05
  5. Step 5: Solve for x
    x = 99,997,115,337.05/356,321.82
  6. Step 6: Final answer
    x = 280,637.08

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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.