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Finding the Fourth Proportional to 320,514.94, 442,257.78 and 177,247

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Solution

The fourth proportional to 320,514.94, 442,257.78 and 177,247 is: 244,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,514.94 : 442,257.78 = 177,247 : x
  2. Step 2: Convert to fraction form
    320,514.94/442,257.78 = 177,247/x
  3. Step 3: Cross multiply
    320,514.94x = 442,257.78 × 177,247
  4. Step 4: Simplify right side
    320,514.94x = 78,388,864,731.66
  5. Step 5: Solve for x
    x = 78,388,864,731.66/320,514.94
  6. Step 6: Final answer
    x = 244,571.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.