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Finding the Fourth Proportional to 256,872.80, 385,309.20 and 225,768.80

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Solution

The fourth proportional to 256,872.80, 385,309.20 and 225,768.80 is: 338,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,872.80 : 385,309.20 = 225,768.80 : x
  2. Step 2: Convert to fraction form
    256,872.80/385,309.20 = 225,768.80/x
  3. Step 3: Cross multiply
    256,872.80x = 385,309.20 × 225,768.80
  4. Step 4: Simplify right side
    256,872.80x = 86,990,795,712.96
  5. Step 5: Solve for x
    x = 86,990,795,712.96/256,872.80
  6. Step 6: Final answer
    x = 338,653.20

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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.