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Finding the Fourth Proportional to 552,750, 827,408.80 and 299,401.30

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Solution

The fourth proportional to 552,750, 827,408.80 and 299,401.30 is: 448,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,750 : 827,408.80 = 299,401.30 : x
  2. Step 2: Convert to fraction form
    552,750/827,408.80 = 299,401.30/x
  3. Step 3: Cross multiply
    552,750x = 827,408.80 × 299,401.30
  4. Step 4: Simplify right side
    552,750x = 247,727,270,351.44
  5. Step 5: Solve for x
    x = 247,727,270,351.44/552,750
  6. Step 6: Final answer
    x = 448,172.36

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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.