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Finding the Fourth Proportional to 283,738.40, 424,856.72 and 171,268.28

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Solution

The fourth proportional to 283,738.40, 424,856.72 and 171,268.28 is: 256,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,738.40 : 424,856.72 = 171,268.28 : x
  2. Step 2: Convert to fraction form
    283,738.40/424,856.72 = 171,268.28/x
  3. Step 3: Cross multiply
    283,738.40x = 424,856.72 × 171,268.28
  4. Step 4: Simplify right side
    283,738.40x = 72,764,477,984.73
  5. Step 5: Solve for x
    x = 72,764,477,984.73/283,738.40
  6. Step 6: Final answer
    x = 256,449.18

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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.