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Finding the Fourth Proportional to 256,755.78, 354,316.35 and 142,031.43

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Solution

The fourth proportional to 256,755.78, 354,316.35 and 142,031.43 is: 195,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.78 : 354,316.35 = 142,031.43 : x
  2. Step 2: Convert to fraction form
    256,755.78/354,316.35 = 142,031.43/x
  3. Step 3: Cross multiply
    256,755.78x = 354,316.35 × 142,031.43
  4. Step 4: Simplify right side
    256,755.78x = 50,324,057,862.88
  5. Step 5: Solve for x
    x = 50,324,057,862.88/256,755.78
  6. Step 6: Final answer
    x = 195,999.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.