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Finding the Fourth Proportional to 324,225, 486,339.66 and 102,609

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Solution

The fourth proportional to 324,225, 486,339.66 and 102,609 is: 153,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,225 : 486,339.66 = 102,609 : x
  2. Step 2: Convert to fraction form
    324,225/486,339.66 = 102,609/x
  3. Step 3: Cross multiply
    324,225x = 486,339.66 × 102,609
  4. Step 4: Simplify right side
    324,225x = 49,902,826,172.94
  5. Step 5: Solve for x
    x = 49,902,826,172.94/324,225
  6. Step 6: Final answer
    x = 153,914.18

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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.