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Finding the Fourth Proportional to 289,218.92, 399,126.28 and 166,643.65

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Solution

The fourth proportional to 289,218.92, 399,126.28 and 166,643.65 is: 229,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,218.92 : 399,126.28 = 166,643.65 : x
  2. Step 2: Convert to fraction form
    289,218.92/399,126.28 = 166,643.65/x
  3. Step 3: Cross multiply
    289,218.92x = 399,126.28 × 166,643.65
  4. Step 4: Simplify right side
    289,218.92x = 66,511,858,114.49
  5. Step 5: Solve for x
    x = 66,511,858,114.49/289,218.92
  6. Step 6: Final answer
    x = 229,970.63

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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.