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Finding the Fourth Proportional to 256,043.40, 383,373.90 and 200,747.40

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Solution

The fourth proportional to 256,043.40, 383,373.90 and 200,747.40 is: 300,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.40 : 383,373.90 = 200,747.40 : x
  2. Step 2: Convert to fraction form
    256,043.40/383,373.90 = 200,747.40/x
  3. Step 3: Cross multiply
    256,043.40x = 383,373.90 × 200,747.40
  4. Step 4: Simplify right side
    256,043.40x = 76,961,313,652.86
  5. Step 5: Solve for x
    x = 76,961,313,652.86/256,043.40
  6. Step 6: Final answer
    x = 300,579.17

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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.