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Finding the Fourth Proportional to 413,993.76, 621,231.60 and 174,090.30

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Solution

The fourth proportional to 413,993.76, 621,231.60 and 174,090.30 is: 261,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,993.76 : 621,231.60 = 174,090.30 : x
  2. Step 2: Convert to fraction form
    413,993.76/621,231.60 = 174,090.30/x
  3. Step 3: Cross multiply
    413,993.76x = 621,231.60 × 174,090.30
  4. Step 4: Simplify right side
    413,993.76x = 108,150,395,613.48
  5. Step 5: Solve for x
    x = 108,150,395,613.48/413,993.76
  6. Step 6: Final answer
    x = 261,236.78

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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.