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Finding the Fourth Proportional to 320,792.88, 442,687.20 and 177,544.32

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Solution

The fourth proportional to 320,792.88, 442,687.20 and 177,544.32 is: 245,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,792.88 : 442,687.20 = 177,544.32 : x
  2. Step 2: Convert to fraction form
    320,792.88/442,687.20 = 177,544.32/x
  3. Step 3: Cross multiply
    320,792.88x = 442,687.20 × 177,544.32
  4. Step 4: Simplify right side
    320,792.88x = 78,596,597,896.70
  5. Step 5: Solve for x
    x = 78,596,597,896.70/320,792.88
  6. Step 6: Final answer
    x = 245,007.30

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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.