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Finding the Fourth Proportional to 299,891.18, 413,783.16 and 172,566.78

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Solution

The fourth proportional to 299,891.18, 413,783.16 and 172,566.78 is: 238,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.18 : 413,783.16 = 172,566.78 : x
  2. Step 2: Convert to fraction form
    299,891.18/413,783.16 = 172,566.78/x
  3. Step 3: Cross multiply
    299,891.18x = 413,783.16 × 172,566.78
  4. Step 4: Simplify right side
    299,891.18x = 71,405,227,539.42
  5. Step 5: Solve for x
    x = 71,405,227,539.42/299,891.18
  6. Step 6: Final answer
    x = 238,103.79

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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.