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Finding the Fourth Proportional to 409,682.36, 614,523.55 and 129,221.48

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Solution

The fourth proportional to 409,682.36, 614,523.55 and 129,221.48 is: 193,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,682.36 : 614,523.55 = 129,221.48 : x
  2. Step 2: Convert to fraction form
    409,682.36/614,523.55 = 129,221.48/x
  3. Step 3: Cross multiply
    409,682.36x = 614,523.55 × 129,221.48
  4. Step 4: Simplify right side
    409,682.36x = 79,409,642,625.85
  5. Step 5: Solve for x
    x = 79,409,642,625.85/409,682.36
  6. Step 6: Final answer
    x = 193,832.22

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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.