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Finding the Fourth Proportional to 301,177.89, 415,621.61 and 172,114.88

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Solution

The fourth proportional to 301,177.89, 415,621.61 and 172,114.88 is: 237,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,177.89 : 415,621.61 = 172,114.88 : x
  2. Step 2: Convert to fraction form
    301,177.89/415,621.61 = 172,114.88/x
  3. Step 3: Cross multiply
    301,177.89x = 415,621.61 × 172,114.88
  4. Step 4: Simplify right side
    301,177.89x = 71,534,665,651.30
  5. Step 5: Solve for x
    x = 71,534,665,651.30/301,177.89
  6. Step 6: Final answer
    x = 237,516.33

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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.