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Finding the Fourth Proportional to 534,290.53, 800,163.74 and 309,176.41

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Solution

The fourth proportional to 534,290.53, 800,163.74 and 309,176.41 is: 463,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,290.53 : 800,163.74 = 309,176.41 : x
  2. Step 2: Convert to fraction form
    534,290.53/800,163.74 = 309,176.41/x
  3. Step 3: Cross multiply
    534,290.53x = 800,163.74 × 309,176.41
  4. Step 4: Simplify right side
    534,290.53x = 247,391,750,999.49
  5. Step 5: Solve for x
    x = 247,391,750,999.49/534,290.53
  6. Step 6: Final answer
    x = 463,028.52

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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.