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Finding the Fourth Proportional to 256,661, 384,991.50 and 106,971.80

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Solution

The fourth proportional to 256,661, 384,991.50 and 106,971.80 is: 160,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,661 : 384,991.50 = 106,971.80 : x
  2. Step 2: Convert to fraction form
    256,661/384,991.50 = 106,971.80/x
  3. Step 3: Cross multiply
    256,661x = 384,991.50 × 106,971.80
  4. Step 4: Simplify right side
    256,661x = 41,183,233,739.70
  5. Step 5: Solve for x
    x = 41,183,233,739.70/256,661
  6. Step 6: Final answer
    x = 160,457.70

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1.5x scale

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.