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Finding the Fourth Proportional to 303,999.30, 419,624.01 and 208,821.06

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Solution

The fourth proportional to 303,999.30, 419,624.01 and 208,821.06 is: 288,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,999.30 : 419,624.01 = 208,821.06 : x
  2. Step 2: Convert to fraction form
    303,999.30/419,624.01 = 208,821.06/x
  3. Step 3: Cross multiply
    303,999.30x = 419,624.01 × 208,821.06
  4. Step 4: Simplify right side
    303,999.30x = 87,626,330,569.65
  5. Step 5: Solve for x
    x = 87,626,330,569.65/303,999.30
  6. Step 6: Final answer
    x = 288,245.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.