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Finding the Fourth Proportional to 320,696.69, 480,896.80 and 180,455.31

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Solution

The fourth proportional to 320,696.69, 480,896.80 and 180,455.31 is: 270,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,696.69 : 480,896.80 = 180,455.31 : x
  2. Step 2: Convert to fraction form
    320,696.69/480,896.80 = 180,455.31/x
  3. Step 3: Cross multiply
    320,696.69x = 480,896.80 × 180,455.31
  4. Step 4: Simplify right side
    320,696.69x = 86,780,380,670.87
  5. Step 5: Solve for x
    x = 86,780,380,670.87/320,696.69
  6. Step 6: Final answer
    x = 270,599.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.