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Finding the Fourth Proportional to 256,230.17, 384,305.82 and 85,454.88

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Solution

The fourth proportional to 256,230.17, 384,305.82 and 85,454.88 is: 128,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,230.17 : 384,305.82 = 85,454.88 : x
  2. Step 2: Convert to fraction form
    256,230.17/384,305.82 = 85,454.88/x
  3. Step 3: Cross multiply
    256,230.17x = 384,305.82 × 85,454.88
  4. Step 4: Simplify right side
    256,230.17x = 32,840,807,731.40
  5. Step 5: Solve for x
    x = 32,840,807,731.40/256,230.17
  6. Step 6: Final answer
    x = 128,169.17

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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.