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Finding the Fourth Proportional to 256,204.60, 384,306.90 and 200,217.40

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Solution

The fourth proportional to 256,204.60, 384,306.90 and 200,217.40 is: 300,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,204.60 : 384,306.90 = 200,217.40 : x
  2. Step 2: Convert to fraction form
    256,204.60/384,306.90 = 200,217.40/x
  3. Step 3: Cross multiply
    256,204.60x = 384,306.90 × 200,217.40
  4. Step 4: Simplify right side
    256,204.60x = 76,944,928,320.06
  5. Step 5: Solve for x
    x = 76,944,928,320.06/256,204.60
  6. Step 6: Final answer
    x = 300,326.10

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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.