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Finding the Fourth Proportional to 295,921, 408,372.42 and 161,785

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Solution

The fourth proportional to 295,921, 408,372.42 and 161,785 is: 223,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,921 : 408,372.42 = 161,785 : x
  2. Step 2: Convert to fraction form
    295,921/408,372.42 = 161,785/x
  3. Step 3: Cross multiply
    295,921x = 408,372.42 × 161,785
  4. Step 4: Simplify right side
    295,921x = 66,068,531,969.70
  5. Step 5: Solve for x
    x = 66,068,531,969.70/295,921
  6. Step 6: Final answer
    x = 223,264.09

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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.