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Finding the Fourth Proportional to 419,695.59, 629,666.45 and 135,380.43

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Solution

The fourth proportional to 419,695.59, 629,666.45 and 135,380.43 is: 203,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,695.59 : 629,666.45 = 135,380.43 : x
  2. Step 2: Convert to fraction form
    419,695.59/629,666.45 = 135,380.43/x
  3. Step 3: Cross multiply
    419,695.59x = 629,666.45 × 135,380.43
  4. Step 4: Simplify right side
    419,695.59x = 85,244,514,080.67
  5. Step 5: Solve for x
    x = 85,244,514,080.67/419,695.59
  6. Step 6: Final answer
    x = 203,110.34

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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.