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Finding the Fourth Proportional to 330,709, 496,063.50 and 81,391

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Solution

The fourth proportional to 330,709, 496,063.50 and 81,391 is: 122,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,709 : 496,063.50 = 81,391 : x
  2. Step 2: Convert to fraction form
    330,709/496,063.50 = 81,391/x
  3. Step 3: Cross multiply
    330,709x = 496,063.50 × 81,391
  4. Step 4: Simplify right side
    330,709x = 40,375,104,328.50
  5. Step 5: Solve for x
    x = 40,375,104,328.50/330,709
  6. Step 6: Final answer
    x = 122,086.50

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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.