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Finding the Fourth Proportional to 256,517.82, 384,678.18 and 106,828.74

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Solution

The fourth proportional to 256,517.82, 384,678.18 and 106,828.74 is: 160,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,517.82 : 384,678.18 = 106,828.74 : x
  2. Step 2: Convert to fraction form
    256,517.82/384,678.18 = 106,828.74/x
  3. Step 3: Cross multiply
    256,517.82x = 384,678.18 × 106,828.74
  4. Step 4: Simplify right side
    256,517.82x = 41,094,685,274.89
  5. Step 5: Solve for x
    x = 41,094,685,274.89/256,517.82
  6. Step 6: Final answer
    x = 160,202.07

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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.