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Finding the Fourth Proportional to 320,856.66, 442,785.69 and 177,619.23

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Solution

The fourth proportional to 320,856.66, 442,785.69 and 177,619.23 is: 245,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856.66 : 442,785.69 = 177,619.23 : x
  2. Step 2: Convert to fraction form
    320,856.66/442,785.69 = 177,619.23/x
  3. Step 3: Cross multiply
    320,856.66x = 442,785.69 × 177,619.23
  4. Step 4: Simplify right side
    320,856.66x = 78,647,253,312.82
  5. Step 5: Solve for x
    x = 78,647,253,312.82/320,856.66
  6. Step 6: Final answer
    x = 245,116.47

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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.