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Finding the Fourth Proportional to 256,410.82, 384,662.70 and 128,393.86

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Solution

The fourth proportional to 256,410.82, 384,662.70 and 128,393.86 is: 192,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,410.82 : 384,662.70 = 128,393.86 : x
  2. Step 2: Convert to fraction form
    256,410.82/384,662.70 = 128,393.86/x
  3. Step 3: Cross multiply
    256,410.82x = 384,662.70 × 128,393.86
  4. Step 4: Simplify right side
    256,410.82x = 49,388,328,851.02
  5. Step 5: Solve for x
    x = 49,388,328,851.02/256,410.82
  6. Step 6: Final answer
    x = 192,614.06

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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.