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Finding the Fourth Proportional to 256,480.83, 384,600.15 and 149,895.36

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Solution

The fourth proportional to 256,480.83, 384,600.15 and 149,895.36 is: 224,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,480.83 : 384,600.15 = 149,895.36 : x
  2. Step 2: Convert to fraction form
    256,480.83/384,600.15 = 149,895.36/x
  3. Step 3: Cross multiply
    256,480.83x = 384,600.15 × 149,895.36
  4. Step 4: Simplify right side
    256,480.83x = 57,649,777,940.30
  5. Step 5: Solve for x
    x = 57,649,777,940.30/256,480.83
  6. Step 6: Final answer
    x = 224,772.27

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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.