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Finding the Fourth Proportional to 299,608.96, 413,456.80 and 172,284.96

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Solution

The fourth proportional to 299,608.96, 413,456.80 and 172,284.96 is: 237,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,608.96 : 413,456.80 = 172,284.96 : x
  2. Step 2: Convert to fraction form
    299,608.96/413,456.80 = 172,284.96/x
  3. Step 3: Cross multiply
    299,608.96x = 413,456.80 × 172,284.96
  4. Step 4: Simplify right side
    299,608.96x = 71,232,388,249.73
  5. Step 5: Solve for x
    x = 71,232,388,249.73/299,608.96
  6. Step 6: Final answer
    x = 237,751.19

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1.5x scale

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.