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Finding the Fourth Proportional to 256,425.36, 384,775.74 and 106,769.04

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Solution

The fourth proportional to 256,425.36, 384,775.74 and 106,769.04 is: 160,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,425.36 : 384,775.74 = 106,769.04 : x
  2. Step 2: Convert to fraction form
    256,425.36/384,775.74 = 106,769.04/x
  3. Step 3: Cross multiply
    256,425.36x = 384,775.74 × 106,769.04
  4. Step 4: Simplify right side
    256,425.36x = 41,082,136,375.09
  5. Step 5: Solve for x
    x = 41,082,136,375.09/256,425.36
  6. Step 6: Final answer
    x = 160,210.89

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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.