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Finding the Fourth Proportional to 270,021.60, 404,546.40 and 214,228.80

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Solution

The fourth proportional to 270,021.60, 404,546.40 and 214,228.80 is: 320,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,021.60 : 404,546.40 = 214,228.80 : x
  2. Step 2: Convert to fraction form
    270,021.60/404,546.40 = 214,228.80/x
  3. Step 3: Cross multiply
    270,021.60x = 404,546.40 × 214,228.80
  4. Step 4: Simplify right side
    270,021.60x = 86,665,489,816.32
  5. Step 5: Solve for x
    x = 86,665,489,816.32/270,021.60
  6. Step 6: Final answer
    x = 320,957.62

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1.5x scale

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.