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Finding the Fourth Proportional to 256,084.20, 384,126.30 and 203,207.40

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Solution

The fourth proportional to 256,084.20, 384,126.30 and 203,207.40 is: 304,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084.20 : 384,126.30 = 203,207.40 : x
  2. Step 2: Convert to fraction form
    256,084.20/384,126.30 = 203,207.40/x
  3. Step 3: Cross multiply
    256,084.20x = 384,126.30 × 203,207.40
  4. Step 4: Simplify right side
    256,084.20x = 78,057,306,694.62
  5. Step 5: Solve for x
    x = 78,057,306,694.62/256,084.20
  6. Step 6: Final answer
    x = 304,811.10

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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.