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Finding the Fourth Proportional to 324,446, 486,669 and 102,830

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Solution

The fourth proportional to 324,446, 486,669 and 102,830 is: 154,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,446 : 486,669 = 102,830 : x
  2. Step 2: Convert to fraction form
    324,446/486,669 = 102,830/x
  3. Step 3: Cross multiply
    324,446x = 486,669 × 102,830
  4. Step 4: Simplify right side
    324,446x = 50,044,173,270
  5. Step 5: Solve for x
    x = 50,044,173,270/324,446
  6. Step 6: Final answer
    x = 154,245

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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.