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Finding the Fourth Proportional to 429,770.90, 644,434.88 and 192,910.56

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Solution

The fourth proportional to 429,770.90, 644,434.88 and 192,910.56 is: 289,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,770.90 : 644,434.88 = 192,910.56 : x
  2. Step 2: Convert to fraction form
    429,770.90/644,434.88 = 192,910.56/x
  3. Step 3: Cross multiply
    429,770.90x = 644,434.88 × 192,910.56
  4. Step 4: Simplify right side
    429,770.90x = 124,318,292,619.78
  5. Step 5: Solve for x
    x = 124,318,292,619.78/429,770.90
  6. Step 6: Final answer
    x = 289,266.43

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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.