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Finding the Fourth Proportional to 389,249, 537,163.68 and 210,401

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Solution

The fourth proportional to 389,249, 537,163.68 and 210,401 is: 290,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,249 : 537,163.68 = 210,401 : x
  2. Step 2: Convert to fraction form
    389,249/537,163.68 = 210,401/x
  3. Step 3: Cross multiply
    389,249x = 537,163.68 × 210,401
  4. Step 4: Simplify right side
    389,249x = 113,019,775,435.68
  5. Step 5: Solve for x
    x = 113,019,775,435.68/389,249
  6. Step 6: Final answer
    x = 290,353.41

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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.