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Finding the Fourth Proportional to 303,083.21, 418,226.28 and 175,745

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Solution

The fourth proportional to 303,083.21, 418,226.28 and 175,745 is: 242,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,083.21 : 418,226.28 = 175,745 : x
  2. Step 2: Convert to fraction form
    303,083.21/418,226.28 = 175,745/x
  3. Step 3: Cross multiply
    303,083.21x = 418,226.28 × 175,745
  4. Step 4: Simplify right side
    303,083.21x = 73,501,177,578.60
  5. Step 5: Solve for x
    x = 73,501,177,578.60/303,083.21
  6. Step 6: Final answer
    x = 242,511.55

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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.