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Finding the Fourth Proportional to 415,609.20, 623,183.40 and 166,009.20

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Solution

The fourth proportional to 415,609.20, 623,183.40 and 166,009.20 is: 248,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,609.20 : 623,183.40 = 166,009.20 : x
  2. Step 2: Convert to fraction form
    415,609.20/623,183.40 = 166,009.20/x
  3. Step 3: Cross multiply
    415,609.20x = 623,183.40 × 166,009.20
  4. Step 4: Simplify right side
    415,609.20x = 103,454,177,687.28
  5. Step 5: Solve for x
    x = 103,454,177,687.28/415,609.20
  6. Step 6: Final answer
    x = 248,921.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.