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Finding the Fourth Proportional to 429,992.42, 644,988.92 and 110,145.48

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Solution

The fourth proportional to 429,992.42, 644,988.92 and 110,145.48 is: 165,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,992.42 : 644,988.92 = 110,145.48 : x
  2. Step 2: Convert to fraction form
    429,992.42/644,988.92 = 110,145.48/x
  3. Step 3: Cross multiply
    429,992.42x = 644,988.92 × 110,145.48
  4. Step 4: Simplify right side
    429,992.42x = 71,042,613,637.35
  5. Step 5: Solve for x
    x = 71,042,613,637.35/429,992.42
  6. Step 6: Final answer
    x = 165,218.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.