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Finding the Fourth Proportional to 307,725.60, 461,199.60 and 274,288.80

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Solution

The fourth proportional to 307,725.60, 461,199.60 and 274,288.80 is: 411,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,725.60 : 461,199.60 = 274,288.80 : x
  2. Step 2: Convert to fraction form
    307,725.60/461,199.60 = 274,288.80/x
  3. Step 3: Cross multiply
    307,725.60x = 461,199.60 × 274,288.80
  4. Step 4: Simplify right side
    307,725.60x = 126,501,884,844.48
  5. Step 5: Solve for x
    x = 126,501,884,844.48/307,725.60
  6. Step 6: Final answer
    x = 411,086.65

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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.