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Finding the Fourth Proportional to 299,871, 449,456.58 and 166,687.56

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Solution

The fourth proportional to 299,871, 449,456.58 and 166,687.56 is: 249,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,871 : 449,456.58 = 166,687.56 : x
  2. Step 2: Convert to fraction form
    299,871/449,456.58 = 166,687.56/x
  3. Step 3: Cross multiply
    299,871x = 449,456.58 × 166,687.56
  4. Step 4: Simplify right side
    299,871x = 74,918,820,646.14
  5. Step 5: Solve for x
    x = 74,918,820,646.14/299,871
  6. Step 6: Final answer
    x = 249,836.83

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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.