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Finding the Fourth Proportional to 320,395.84, 442,128.40 and 177,147.28

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Solution

The fourth proportional to 320,395.84, 442,128.40 and 177,147.28 is: 244,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,395.84 : 442,128.40 = 177,147.28 : x
  2. Step 2: Convert to fraction form
    320,395.84/442,128.40 = 177,147.28/x
  3. Step 3: Cross multiply
    320,395.84x = 442,128.40 × 177,147.28
  4. Step 4: Simplify right side
    320,395.84x = 78,321,843,470.75
  5. Step 5: Solve for x
    x = 78,321,843,470.75/320,395.84
  6. Step 6: Final answer
    x = 244,453.37

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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.