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Finding the Fourth Proportional to 289,121.81, 399,029.84 and 166,590.73

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Solution

The fourth proportional to 289,121.81, 399,029.84 and 166,590.73 is: 229,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,121.81 : 399,029.84 = 166,590.73 : x
  2. Step 2: Convert to fraction form
    289,121.81/399,029.84 = 166,590.73/x
  3. Step 3: Cross multiply
    289,121.81x = 399,029.84 × 166,590.73
  4. Step 4: Simplify right side
    289,121.81x = 66,474,671,320.46
  5. Step 5: Solve for x
    x = 66,474,671,320.46/289,121.81
  6. Step 6: Final answer
    x = 229,919.26

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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.