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Finding the Fourth Proportional to 256,742.83, 354,277.84 and 142,003.24

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Solution

The fourth proportional to 256,742.83, 354,277.84 and 142,003.24 is: 195,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,742.83 : 354,277.84 = 142,003.24 : x
  2. Step 2: Convert to fraction form
    256,742.83/354,277.84 = 142,003.24/x
  3. Step 3: Cross multiply
    256,742.83x = 354,277.84 × 142,003.24
  4. Step 4: Simplify right side
    256,742.83x = 50,308,601,140.20
  5. Step 5: Solve for x
    x = 50,308,601,140.20/256,742.83
  6. Step 6: Final answer
    x = 195,949.39

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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.