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Finding the Fourth Proportional to 295,996.88, 408,467.40 and 161,858

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Solution

The fourth proportional to 295,996.88, 408,467.40 and 161,858 is: 223,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,996.88 : 408,467.40 = 161,858 : x
  2. Step 2: Convert to fraction form
    295,996.88/408,467.40 = 161,858/x
  3. Step 3: Cross multiply
    295,996.88x = 408,467.40 × 161,858
  4. Step 4: Simplify right side
    295,996.88x = 66,113,716,429.20
  5. Step 5: Solve for x
    x = 66,113,716,429.20/295,996.88
  6. Step 6: Final answer
    x = 223,359.50

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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.