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Finding the Fourth Proportional to 256,455.56, 384,727.62 and 114,351.32

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Solution

The fourth proportional to 256,455.56, 384,727.62 and 114,351.32 is: 171,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,455.56 : 384,727.62 = 114,351.32 : x
  2. Step 2: Convert to fraction form
    256,455.56/384,727.62 = 114,351.32/x
  3. Step 3: Cross multiply
    256,455.56x = 384,727.62 × 114,351.32
  4. Step 4: Simplify right side
    256,455.56x = 43,994,111,187.46
  5. Step 5: Solve for x
    x = 43,994,111,187.46/256,455.56
  6. Step 6: Final answer
    x = 171,546.72

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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.