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Finding the Fourth Proportional to 299,350.60, 413,174.74 and 172,100.12

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Solution

The fourth proportional to 299,350.60, 413,174.74 and 172,100.12 is: 237,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,350.60 : 413,174.74 = 172,100.12 : x
  2. Step 2: Convert to fraction form
    299,350.60/413,174.74 = 172,100.12/x
  3. Step 3: Cross multiply
    299,350.60x = 413,174.74 × 172,100.12
  4. Step 4: Simplify right side
    299,350.60x = 71,107,422,334.97
  5. Step 5: Solve for x
    x = 71,107,422,334.97/299,350.60
  6. Step 6: Final answer
    x = 237,538.93

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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.