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Finding the Fourth Proportional to 299,582.74, 413,295.78 and 172,231.30

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Solution

The fourth proportional to 299,582.74, 413,295.78 and 172,231.30 is: 237,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582.74 : 413,295.78 = 172,231.30 : x
  2. Step 2: Convert to fraction form
    299,582.74/413,295.78 = 172,231.30/x
  3. Step 3: Cross multiply
    299,582.74x = 413,295.78 × 172,231.30
  4. Step 4: Simplify right side
    299,582.74x = 71,182,469,473.91
  5. Step 5: Solve for x
    x = 71,182,469,473.91/299,582.74
  6. Step 6: Final answer
    x = 237,605.38

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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.