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Finding the Fourth Proportional to 429,989.41, 644,984.42 and 110,142.48

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Solution

The fourth proportional to 429,989.41, 644,984.42 and 110,142.48 is: 165,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,989.41 : 644,984.42 = 110,142.48 : x
  2. Step 2: Convert to fraction form
    429,989.41/644,984.42 = 110,142.48/x
  3. Step 3: Cross multiply
    429,989.41x = 644,984.42 × 110,142.48
  4. Step 4: Simplify right side
    429,989.41x = 71,040,186,067.69
  5. Step 5: Solve for x
    x = 71,040,186,067.69/429,989.41
  6. Step 6: Final answer
    x = 165,213.80

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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.