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Finding the Fourth Proportional to 413,529.58, 620,380.45 and 129,208.64

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Solution

The fourth proportional to 413,529.58, 620,380.45 and 129,208.64 is: 193,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,529.58 : 620,380.45 = 129,208.64 : x
  2. Step 2: Convert to fraction form
    413,529.58/620,380.45 = 129,208.64/x
  3. Step 3: Cross multiply
    413,529.58x = 620,380.45 × 129,208.64
  4. Step 4: Simplify right side
    413,529.58x = 80,158,514,227.09
  5. Step 5: Solve for x
    x = 80,158,514,227.09/413,529.58
  6. Step 6: Final answer
    x = 193,839.86

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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.