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Finding the Fourth Proportional to 299,421.90, 413,185.32 and 170,343

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Solution

The fourth proportional to 299,421.90, 413,185.32 and 170,343 is: 235,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,421.90 : 413,185.32 = 170,343 : x
  2. Step 2: Convert to fraction form
    299,421.90/413,185.32 = 170,343/x
  3. Step 3: Cross multiply
    299,421.90x = 413,185.32 × 170,343
  4. Step 4: Simplify right side
    299,421.90x = 70,383,226,964.76
  5. Step 5: Solve for x
    x = 70,383,226,964.76/299,421.90
  6. Step 6: Final answer
    x = 235,063.72

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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.