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Finding the Fourth Proportional to 324,317.76, 486,470.88 and 102,696

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Solution

The fourth proportional to 324,317.76, 486,470.88 and 102,696 is: 154,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,317.76 : 486,470.88 = 102,696 : x
  2. Step 2: Convert to fraction form
    324,317.76/486,470.88 = 102,696/x
  3. Step 3: Cross multiply
    324,317.76x = 486,470.88 × 102,696
  4. Step 4: Simplify right side
    324,317.76x = 49,958,613,492.48
  5. Step 5: Solve for x
    x = 49,958,613,492.48/324,317.76
  6. Step 6: Final answer
    x = 154,042.18

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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.