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Finding the Fourth Proportional to 320,665.64, 442,478.58 and 177,405.80

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Solution

The fourth proportional to 320,665.64, 442,478.58 and 177,405.80 is: 244,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,665.64 : 442,478.58 = 177,405.80 : x
  2. Step 2: Convert to fraction form
    320,665.64/442,478.58 = 177,405.80/x
  3. Step 3: Cross multiply
    320,665.64x = 442,478.58 × 177,405.80
  4. Step 4: Simplify right side
    320,665.64x = 78,498,266,467.76
  5. Step 5: Solve for x
    x = 78,498,266,467.76/320,665.64
  6. Step 6: Final answer
    x = 244,797.87

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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.