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Finding the Fourth Proportional to 289,596.46, 399,406.17 and 203,839.33

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Solution

The fourth proportional to 289,596.46, 399,406.17 and 203,839.33 is: 281,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.46 : 399,406.17 = 203,839.33 : x
  2. Step 2: Convert to fraction form
    289,596.46/399,406.17 = 203,839.33/x
  3. Step 3: Cross multiply
    289,596.46x = 399,406.17 × 203,839.33
  4. Step 4: Simplify right side
    289,596.46x = 81,414,686,090.67
  5. Step 5: Solve for x
    x = 81,414,686,090.67/289,596.46
  6. Step 6: Final answer
    x = 281,131.50

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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.