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Finding the Fourth Proportional to 320,751.72, 442,651.26 and 177,511.80

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Solution

The fourth proportional to 320,751.72, 442,651.26 and 177,511.80 is: 244,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,751.72 : 442,651.26 = 177,511.80 : x
  2. Step 2: Convert to fraction form
    320,751.72/442,651.26 = 177,511.80/x
  3. Step 3: Cross multiply
    320,751.72x = 442,651.26 × 177,511.80
  4. Step 4: Simplify right side
    320,751.72x = 78,575,821,934.87
  5. Step 5: Solve for x
    x = 78,575,821,934.87/320,751.72
  6. Step 6: Final answer
    x = 244,973.97

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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.