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Finding the Fourth Proportional to 320,599.32, 442,388.69 and 177,339.88

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Solution

The fourth proportional to 320,599.32, 442,388.69 and 177,339.88 is: 244,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.32 : 442,388.69 = 177,339.88 : x
  2. Step 2: Convert to fraction form
    320,599.32/442,388.69 = 177,339.88/x
  3. Step 3: Cross multiply
    320,599.32x = 442,388.69 × 177,339.88
  4. Step 4: Simplify right side
    320,599.32x = 78,453,157,529.27
  5. Step 5: Solve for x
    x = 78,453,157,529.27/320,599.32
  6. Step 6: Final answer
    x = 244,707.81

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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.