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Finding the Fourth Proportional to 256,717, 384,911.46 and 123,331.86

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Solution

The fourth proportional to 256,717, 384,911.46 and 123,331.86 is: 184,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,717 : 384,911.46 = 123,331.86 : x
  2. Step 2: Convert to fraction form
    256,717/384,911.46 = 123,331.86/x
  3. Step 3: Cross multiply
    256,717x = 384,911.46 × 123,331.86
  4. Step 4: Simplify right side
    256,717x = 47,471,846,297.12
  5. Step 5: Solve for x
    x = 47,471,846,297.12/256,717
  6. Step 6: Final answer
    x = 184,918.98

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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.