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Finding the Fourth Proportional to 256,498.34, 384,747.60 and 66,958.17

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Solution

The fourth proportional to 256,498.34, 384,747.60 and 66,958.17 is: 100,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.34 : 384,747.60 = 66,958.17 : x
  2. Step 2: Convert to fraction form
    256,498.34/384,747.60 = 66,958.17/x
  3. Step 3: Cross multiply
    256,498.34x = 384,747.60 × 66,958.17
  4. Step 4: Simplify right side
    256,498.34x = 25,761,995,207.89
  5. Step 5: Solve for x
    x = 25,761,995,207.89/256,498.34
  6. Step 6: Final answer
    x = 100,437.28

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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.