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Finding the Fourth Proportional to 301,605.76, 416,249.24 and 172,556.20

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Solution

The fourth proportional to 301,605.76, 416,249.24 and 172,556.20 is: 238,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,605.76 : 416,249.24 = 172,556.20 : x
  2. Step 2: Convert to fraction form
    301,605.76/416,249.24 = 172,556.20/x
  3. Step 3: Cross multiply
    301,605.76x = 416,249.24 × 172,556.20
  4. Step 4: Simplify right side
    301,605.76x = 71,826,387,107.29
  5. Step 5: Solve for x
    x = 71,826,387,107.29/301,605.76
  6. Step 6: Final answer
    x = 238,146.60

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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.