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Finding the Fourth Proportional to 256,130.40, 384,310.80 and 115,816.80

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Solution

The fourth proportional to 256,130.40, 384,310.80 and 115,816.80 is: 173,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,130.40 : 384,310.80 = 115,816.80 : x
  2. Step 2: Convert to fraction form
    256,130.40/384,310.80 = 115,816.80/x
  3. Step 3: Cross multiply
    256,130.40x = 384,310.80 × 115,816.80
  4. Step 4: Simplify right side
    256,130.40x = 44,509,647,061.44
  5. Step 5: Solve for x
    x = 44,509,647,061.44/256,130.40
  6. Step 6: Final answer
    x = 173,777.29

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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.