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Finding the Fourth Proportional to 295,874.64, 408,299.40 and 161,730

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Solution

The fourth proportional to 295,874.64, 408,299.40 and 161,730 is: 223,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,874.64 : 408,299.40 = 161,730 : x
  2. Step 2: Convert to fraction form
    295,874.64/408,299.40 = 161,730/x
  3. Step 3: Cross multiply
    295,874.64x = 408,299.40 × 161,730
  4. Step 4: Simplify right side
    295,874.64x = 66,034,261,962
  5. Step 5: Solve for x
    x = 66,034,261,962/295,874.64
  6. Step 6: Final answer
    x = 223,183.24

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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.