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Finding the Fourth Proportional to 307,977, 425,008.26 and 166,665

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Solution

The fourth proportional to 307,977, 425,008.26 and 166,665 is: 229,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,977 : 425,008.26 = 166,665 : x
  2. Step 2: Convert to fraction form
    307,977/425,008.26 = 166,665/x
  3. Step 3: Cross multiply
    307,977x = 425,008.26 × 166,665
  4. Step 4: Simplify right side
    307,977x = 70,834,001,652.90
  5. Step 5: Solve for x
    x = 70,834,001,652.90/307,977
  6. Step 6: Final answer
    x = 229,997.70

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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.