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Finding the Fourth Proportional to 429,628.56, 644,359.78 and 408,291

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Solution

The fourth proportional to 429,628.56, 644,359.78 and 408,291 is: 612,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,628.56 : 644,359.78 = 408,291 : x
  2. Step 2: Convert to fraction form
    429,628.56/644,359.78 = 408,291/x
  3. Step 3: Cross multiply
    429,628.56x = 644,359.78 × 408,291
  4. Step 4: Simplify right side
    429,628.56x = 263,086,298,935.98
  5. Step 5: Solve for x
    x = 263,086,298,935.98/429,628.56
  6. Step 6: Final answer
    x = 612,357.57

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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.