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Finding the Fourth Proportional to 256,144.92, 353,359.92 and 165,529.38

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Solution

The fourth proportional to 256,144.92, 353,359.92 and 165,529.38 is: 228,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,144.92 : 353,359.92 = 165,529.38 : x
  2. Step 2: Convert to fraction form
    256,144.92/353,359.92 = 165,529.38/x
  3. Step 3: Cross multiply
    256,144.92x = 353,359.92 × 165,529.38
  4. Step 4: Simplify right side
    256,144.92x = 58,491,448,474.45
  5. Step 5: Solve for x
    x = 58,491,448,474.45/256,144.92
  6. Step 6: Final answer
    x = 228,352.95

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1.5x scale

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.