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Finding the Fourth Proportional to 429,343.75, 644,015.67 and 133,855.75

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Solution

The fourth proportional to 429,343.75, 644,015.67 and 133,855.75 is: 200,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,343.75 : 644,015.67 = 133,855.75 : x
  2. Step 2: Convert to fraction form
    429,343.75/644,015.67 = 133,855.75/x
  3. Step 3: Cross multiply
    429,343.75x = 644,015.67 × 133,855.75
  4. Step 4: Simplify right side
    429,343.75x = 86,205,200,519.60
  5. Step 5: Solve for x
    x = 86,205,200,519.60/429,343.75
  6. Step 6: Final answer
    x = 200,783.64

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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.