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Finding the Fourth Proportional to 320,393.82, 442,125.63 and 177,145.26

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Solution

The fourth proportional to 320,393.82, 442,125.63 and 177,145.26 is: 244,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,393.82 : 442,125.63 = 177,145.26 : x
  2. Step 2: Convert to fraction form
    320,393.82/442,125.63 = 177,145.26/x
  3. Step 3: Cross multiply
    320,393.82x = 442,125.63 × 177,145.26
  4. Step 4: Simplify right side
    320,393.82x = 78,320,459,679.01
  5. Step 5: Solve for x
    x = 78,320,459,679.01/320,393.82
  6. Step 6: Final answer
    x = 244,450.59

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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.