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Finding the Fourth Proportional to 409,408.20, 613,421.10 and 269,094.60

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Solution

The fourth proportional to 409,408.20, 613,421.10 and 269,094.60 is: 403,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,408.20 : 613,421.10 = 269,094.60 : x
  2. Step 2: Convert to fraction form
    409,408.20/613,421.10 = 269,094.60/x
  3. Step 3: Cross multiply
    409,408.20x = 613,421.10 × 269,094.60
  4. Step 4: Simplify right side
    409,408.20x = 165,068,305,536.06
  5. Step 5: Solve for x
    x = 165,068,305,536.06/409,408.20
  6. Step 6: Final answer
    x = 403,187.59

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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.