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Finding the Fourth Proportional to 256,179.68, 384,287.96 and 98,408.24

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Solution

The fourth proportional to 256,179.68, 384,287.96 and 98,408.24 is: 147,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,179.68 : 384,287.96 = 98,408.24 : x
  2. Step 2: Convert to fraction form
    256,179.68/384,287.96 = 98,408.24/x
  3. Step 3: Cross multiply
    256,179.68x = 384,287.96 × 98,408.24
  4. Step 4: Simplify right side
    256,179.68x = 37,817,101,796.79
  5. Step 5: Solve for x
    x = 37,817,101,796.79/256,179.68
  6. Step 6: Final answer
    x = 147,619.44

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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.