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Finding the Fourth Proportional to 289,091.29, 398,870.31 and 166,553.68

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Solution

The fourth proportional to 289,091.29, 398,870.31 and 166,553.68 is: 229,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,091.29 : 398,870.31 = 166,553.68 : x
  2. Step 2: Convert to fraction form
    289,091.29/398,870.31 = 166,553.68/x
  3. Step 3: Cross multiply
    289,091.29x = 398,870.31 × 166,553.68
  4. Step 4: Simplify right side
    289,091.29x = 66,433,317,973.24
  5. Step 5: Solve for x
    x = 66,433,317,973.24/289,091.29
  6. Step 6: Final answer
    x = 229,800.48

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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.