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Finding the Fourth Proportional to 299,669.01, 413,555.82 and 172,344.72

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Solution

The fourth proportional to 299,669.01, 413,555.82 and 172,344.72 is: 237,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,669.01 : 413,555.82 = 172,344.72 : x
  2. Step 2: Convert to fraction form
    299,669.01/413,555.82 = 172,344.72/x
  3. Step 3: Cross multiply
    299,669.01x = 413,555.82 × 172,344.72
  4. Step 4: Simplify right side
    299,669.01x = 71,274,162,002.27
  5. Step 5: Solve for x
    x = 71,274,162,002.27/299,669.01
  6. Step 6: Final answer
    x = 237,842.95

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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.