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Finding the Fourth Proportional to 499,546.37, 749,122.32 and 199,971.11

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Solution

The fourth proportional to 499,546.37, 749,122.32 and 199,971.11 is: 299,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,546.37 : 749,122.32 = 199,971.11 : x
  2. Step 2: Convert to fraction form
    499,546.37/749,122.32 = 199,971.11/x
  3. Step 3: Cross multiply
    499,546.37x = 749,122.32 × 199,971.11
  4. Step 4: Simplify right side
    499,546.37x = 149,802,821,856.18
  5. Step 5: Solve for x
    x = 149,802,821,856.18/499,546.37
  6. Step 6: Final answer
    x = 299,877.71

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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.