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Finding the Fourth Proportional to 356,083.29, 491,441.71 and 203,086.41

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Solution

The fourth proportional to 356,083.29, 491,441.71 and 203,086.41 is: 280,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,083.29 : 491,441.71 = 203,086.41 : x
  2. Step 2: Convert to fraction form
    356,083.29/491,441.71 = 203,086.41/x
  3. Step 3: Cross multiply
    356,083.29x = 491,441.71 × 203,086.41
  4. Step 4: Simplify right side
    356,083.29x = 99,805,130,150.95
  5. Step 5: Solve for x
    x = 99,805,130,150.95/356,083.29
  6. Step 6: Final answer
    x = 280,285.92

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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.