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Finding the Fourth Proportional to 534,021.80, 800,384.70 and 308,949.80

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Solution

The fourth proportional to 534,021.80, 800,384.70 and 308,949.80 is: 463,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,021.80 : 800,384.70 = 308,949.80 : x
  2. Step 2: Convert to fraction form
    534,021.80/800,384.70 = 308,949.80/x
  3. Step 3: Cross multiply
    534,021.80x = 800,384.70 × 308,949.80
  4. Step 4: Simplify right side
    534,021.80x = 247,278,692,988.06
  5. Step 5: Solve for x
    x = 247,278,692,988.06/534,021.80
  6. Step 6: Final answer
    x = 463,049.81

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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.