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Finding the Fourth Proportional to 295,772, 408,165.36 and 161,636

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Solution

The fourth proportional to 295,772, 408,165.36 and 161,636 is: 223,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,772 : 408,165.36 = 161,636 : x
  2. Step 2: Convert to fraction form
    295,772/408,165.36 = 161,636/x
  3. Step 3: Cross multiply
    295,772x = 408,165.36 × 161,636
  4. Step 4: Simplify right side
    295,772x = 65,974,216,128.96
  5. Step 5: Solve for x
    x = 65,974,216,128.96/295,772
  6. Step 6: Final answer
    x = 223,057.68

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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.