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Finding the Fourth Proportional to 256,119.57, 384,059.68 and 149,534.30

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Solution

The fourth proportional to 256,119.57, 384,059.68 and 149,534.30 is: 224,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,119.57 : 384,059.68 = 149,534.30 : x
  2. Step 2: Convert to fraction form
    256,119.57/384,059.68 = 149,534.30/x
  3. Step 3: Cross multiply
    256,119.57x = 384,059.68 × 149,534.30
  4. Step 4: Simplify right side
    256,119.57x = 57,430,095,993.34
  5. Step 5: Solve for x
    x = 57,430,095,993.34/256,119.57
  6. Step 6: Final answer
    x = 224,231.58

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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.