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Finding the Fourth Proportional to 256,205.80, 383,271.90 and 225,101.80

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Solution

The fourth proportional to 256,205.80, 383,271.90 and 225,101.80 is: 336,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,205.80 : 383,271.90 = 225,101.80 : x
  2. Step 2: Convert to fraction form
    256,205.80/383,271.90 = 225,101.80/x
  3. Step 3: Cross multiply
    256,205.80x = 383,271.90 × 225,101.80
  4. Step 4: Simplify right side
    256,205.80x = 86,275,194,579.42
  5. Step 5: Solve for x
    x = 86,275,194,579.42/256,205.80
  6. Step 6: Final answer
    x = 336,741.77

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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.