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Finding the Fourth Proportional to 329,105, 493,657.50 and 79,787

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Solution

The fourth proportional to 329,105, 493,657.50 and 79,787 is: 119,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,105 : 493,657.50 = 79,787 : x
  2. Step 2: Convert to fraction form
    329,105/493,657.50 = 79,787/x
  3. Step 3: Cross multiply
    329,105x = 493,657.50 × 79,787
  4. Step 4: Simplify right side
    329,105x = 39,387,450,952.50
  5. Step 5: Solve for x
    x = 39,387,450,952.50/329,105
  6. Step 6: Final answer
    x = 119,680.50

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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.