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Finding the Fourth Proportional to 256,571.87, 353,838.39 and 165,832.43

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Solution

The fourth proportional to 256,571.87, 353,838.39 and 165,832.43 is: 228,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,571.87 : 353,838.39 = 165,832.43 : x
  2. Step 2: Convert to fraction form
    256,571.87/353,838.39 = 165,832.43/x
  3. Step 3: Cross multiply
    256,571.87x = 353,838.39 × 165,832.43
  4. Step 4: Simplify right side
    256,571.87x = 58,677,880,040.99
  5. Step 5: Solve for x
    x = 58,677,880,040.99/256,571.87
  6. Step 6: Final answer
    x = 228,699.58

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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.