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Finding the Fourth Proportional to 256,305.32, 384,540.24 and 123,195.24

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Solution

The fourth proportional to 256,305.32, 384,540.24 and 123,195.24 is: 184,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,305.32 : 384,540.24 = 123,195.24 : x
  2. Step 2: Convert to fraction form
    256,305.32/384,540.24 = 123,195.24/x
  3. Step 3: Cross multiply
    256,305.32x = 384,540.24 × 123,195.24
  4. Step 4: Simplify right side
    256,305.32x = 47,373,527,156.46
  5. Step 5: Solve for x
    x = 47,373,527,156.46/256,305.32
  6. Step 6: Final answer
    x = 184,832.40

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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.