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Finding the Fourth Proportional to 303,461.12, 418,933.86 and 221,697.68

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Solution

The fourth proportional to 303,461.12, 418,933.86 and 221,697.68 is: 306,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,461.12 : 418,933.86 = 221,697.68 : x
  2. Step 2: Convert to fraction form
    303,461.12/418,933.86 = 221,697.68/x
  3. Step 3: Cross multiply
    303,461.12x = 418,933.86 × 221,697.68
  4. Step 4: Simplify right side
    303,461.12x = 92,876,664,835.44
  5. Step 5: Solve for x
    x = 92,876,664,835.44/303,461.12
  6. Step 6: Final answer
    x = 306,057.87

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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.