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Finding the Fourth Proportional to 534,019.80, 800,381.70 and 308,947.80

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Solution

The fourth proportional to 534,019.80, 800,381.70 and 308,947.80 is: 463,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,019.80 : 800,381.70 = 308,947.80 : x
  2. Step 2: Convert to fraction form
    534,019.80/800,381.70 = 308,947.80/x
  3. Step 3: Cross multiply
    534,019.80x = 800,381.70 × 308,947.80
  4. Step 4: Simplify right side
    534,019.80x = 247,276,165,375.26
  5. Step 5: Solve for x
    x = 247,276,165,375.26/534,019.80
  6. Step 6: Final answer
    x = 463,046.81

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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.