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Finding the Fourth Proportional to 429,401.58, 644,102.37 and 113,883.09

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Solution

The fourth proportional to 429,401.58, 644,102.37 and 113,883.09 is: 170,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,401.58 : 644,102.37 = 113,883.09 : x
  2. Step 2: Convert to fraction form
    429,401.58/644,102.37 = 113,883.09/x
  3. Step 3: Cross multiply
    429,401.58x = 644,102.37 × 113,883.09
  4. Step 4: Simplify right side
    429,401.58x = 73,352,368,171.92
  5. Step 5: Solve for x
    x = 73,352,368,171.92/429,401.58
  6. Step 6: Final answer
    x = 170,824.64

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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.