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Finding the Fourth Proportional to 289,161.34, 399,084.54 and 166,629.88

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Solution

The fourth proportional to 289,161.34, 399,084.54 and 166,629.88 is: 229,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,161.34 : 399,084.54 = 166,629.88 : x
  2. Step 2: Convert to fraction form
    289,161.34/399,084.54 = 166,629.88/x
  3. Step 3: Cross multiply
    289,161.34x = 399,084.54 × 166,629.88
  4. Step 4: Simplify right side
    289,161.34x = 66,499,409,010.06
  5. Step 5: Solve for x
    x = 66,499,409,010.06/289,161.34
  6. Step 6: Final answer
    x = 229,973.37

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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.