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Finding the Fourth Proportional to 289,596.70, 399,406.48 and 203,839.57

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Solution

The fourth proportional to 289,596.70, 399,406.48 and 203,839.57 is: 281,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.70 : 399,406.48 = 203,839.57 : x
  2. Step 2: Convert to fraction form
    289,596.70/399,406.48 = 203,839.57/x
  3. Step 3: Cross multiply
    289,596.70x = 399,406.48 × 203,839.57
  4. Step 4: Simplify right side
    289,596.70x = 81,414,845,128.07
  5. Step 5: Solve for x
    x = 81,414,845,128.07/289,596.70
  6. Step 6: Final answer
    x = 281,131.81

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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.