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Finding the Fourth Proportional to 429,329, 643,993.50 and 133,841

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Solution

The fourth proportional to 429,329, 643,993.50 and 133,841 is: 200,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,329 : 643,993.50 = 133,841 : x
  2. Step 2: Convert to fraction form
    429,329/643,993.50 = 133,841/x
  3. Step 3: Cross multiply
    429,329x = 643,993.50 × 133,841
  4. Step 4: Simplify right side
    429,329x = 86,192,734,033.50
  5. Step 5: Solve for x
    x = 86,192,734,033.50/429,329
  6. Step 6: Final answer
    x = 200,761.50

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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.