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Finding the Fourth Proportional to 270,019.60, 404,543.40 and 214,226.80

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Solution

The fourth proportional to 270,019.60, 404,543.40 and 214,226.80 is: 320,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,019.60 : 404,543.40 = 214,226.80 : x
  2. Step 2: Convert to fraction form
    270,019.60/404,543.40 = 214,226.80/x
  3. Step 3: Cross multiply
    270,019.60x = 404,543.40 × 214,226.80
  4. Step 4: Simplify right side
    270,019.60x = 86,664,038,043.12
  5. Step 5: Solve for x
    x = 86,664,038,043.12/270,019.60
  6. Step 6: Final answer
    x = 320,954.62

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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.