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Finding the Fourth Proportional to 335,511, 503,266.50 and 86,193

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Solution

The fourth proportional to 335,511, 503,266.50 and 86,193 is: 129,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,511 : 503,266.50 = 86,193 : x
  2. Step 2: Convert to fraction form
    335,511/503,266.50 = 86,193/x
  3. Step 3: Cross multiply
    335,511x = 503,266.50 × 86,193
  4. Step 4: Simplify right side
    335,511x = 43,378,049,434.50
  5. Step 5: Solve for x
    x = 43,378,049,434.50/335,511
  6. Step 6: Final answer
    x = 129,289.50

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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.