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Finding the Fourth Proportional to 429,786.51, 644,596.38 and 408,449.59

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Solution

The fourth proportional to 429,786.51, 644,596.38 and 408,449.59 is: 612,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,786.51 : 644,596.38 = 408,449.59 : x
  2. Step 2: Convert to fraction form
    429,786.51/644,596.38 = 408,449.59/x
  3. Step 3: Cross multiply
    429,786.51x = 644,596.38 × 408,449.59
  4. Step 4: Simplify right side
    429,786.51x = 263,285,125,514.99
  5. Step 5: Solve for x
    x = 263,285,125,514.99/429,786.51
  6. Step 6: Final answer
    x = 612,595.14

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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.