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Finding the Fourth Proportional to 299,539.90, 413,331.06 and 172,256.50

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Solution

The fourth proportional to 299,539.90, 413,331.06 and 172,256.50 is: 237,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,539.90 : 413,331.06 = 172,256.50 : x
  2. Step 2: Convert to fraction form
    299,539.90/413,331.06 = 172,256.50/x
  3. Step 3: Cross multiply
    299,539.90x = 413,331.06 × 172,256.50
  4. Step 4: Simplify right side
    299,539.90x = 71,198,961,736.89
  5. Step 5: Solve for x
    x = 71,198,961,736.89/299,539.90
  6. Step 6: Final answer
    x = 237,694.42

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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.