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Finding the Fourth Proportional to 256,622.85, 384,926.29 and 106,859.36

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Solution

The fourth proportional to 256,622.85, 384,926.29 and 106,859.36 is: 160,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,622.85 : 384,926.29 = 106,859.36 : x
  2. Step 2: Convert to fraction form
    256,622.85/384,926.29 = 106,859.36/x
  3. Step 3: Cross multiply
    256,622.85x = 384,926.29 × 106,859.36
  4. Step 4: Simplify right side
    256,622.85x = 41,132,976,996.57
  5. Step 5: Solve for x
    x = 41,132,976,996.57/256,622.85
  6. Step 6: Final answer
    x = 160,285.71

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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.