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Finding the Fourth Proportional to 307,982, 425,015.16 and 166,670

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Solution

The fourth proportional to 307,982, 425,015.16 and 166,670 is: 230,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982 : 425,015.16 = 166,670 : x
  2. Step 2: Convert to fraction form
    307,982/425,015.16 = 166,670/x
  3. Step 3: Cross multiply
    307,982x = 425,015.16 × 166,670
  4. Step 4: Simplify right side
    307,982x = 70,837,276,717.20
  5. Step 5: Solve for x
    x = 70,837,276,717.20/307,982
  6. Step 6: Final answer
    x = 230,004.60

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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.