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Finding the Fourth Proportional to 256,467.20, 384,009.60 and 185,964.80

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Solution

The fourth proportional to 256,467.20, 384,009.60 and 185,964.80 is: 278,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,467.20 : 384,009.60 = 185,964.80 : x
  2. Step 2: Convert to fraction form
    256,467.20/384,009.60 = 185,964.80/x
  3. Step 3: Cross multiply
    256,467.20x = 384,009.60 × 185,964.80
  4. Step 4: Simplify right side
    256,467.20x = 71,412,268,462.08
  5. Step 5: Solve for x
    x = 71,412,268,462.08/256,467.20
  6. Step 6: Final answer
    x = 278,446.01

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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.