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Finding the Fourth Proportional to 320,412, 442,151.28 and 177,163.68

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Solution

The fourth proportional to 320,412, 442,151.28 and 177,163.68 is: 244,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,412 : 442,151.28 = 177,163.68 : x
  2. Step 2: Convert to fraction form
    320,412/442,151.28 = 177,163.68/x
  3. Step 3: Cross multiply
    320,412x = 442,151.28 × 177,163.68
  4. Step 4: Simplify right side
    320,412x = 78,333,147,881.51
  5. Step 5: Solve for x
    x = 78,333,147,881.51/320,412
  6. Step 6: Final answer
    x = 244,476.32

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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.