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Finding the Fourth Proportional to 429,743.70, 644,907.15 and 279,618.30

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Solution

The fourth proportional to 429,743.70, 644,907.15 and 279,618.30 is: 419,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,743.70 : 644,907.15 = 279,618.30 : x
  2. Step 2: Convert to fraction form
    429,743.70/644,907.15 = 279,618.30/x
  3. Step 3: Cross multiply
    429,743.70x = 644,907.15 × 279,618.30
  4. Step 4: Simplify right side
    429,743.70x = 180,327,840,940.85
  5. Step 5: Solve for x
    x = 180,327,840,940.85/429,743.70
  6. Step 6: Final answer
    x = 419,617.18

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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.