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Finding the Fourth Proportional to 256,767.27, 385,242.08 and 114,599.61

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Solution

The fourth proportional to 256,767.27, 385,242.08 and 114,599.61 is: 171,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,767.27 : 385,242.08 = 114,599.61 : x
  2. Step 2: Convert to fraction form
    256,767.27/385,242.08 = 114,599.61/x
  3. Step 3: Cross multiply
    256,767.27x = 385,242.08 × 114,599.61
  4. Step 4: Simplify right side
    256,767.27x = 44,148,591,550.59
  5. Step 5: Solve for x
    x = 44,148,591,550.59/256,767.27
  6. Step 6: Final answer
    x = 171,940.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.