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Finding the Fourth Proportional to 429,402.94, 644,104.44 and 133,914.94

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Solution

The fourth proportional to 429,402.94, 644,104.44 and 133,914.94 is: 200,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,402.94 : 644,104.44 = 133,914.94 : x
  2. Step 2: Convert to fraction form
    429,402.94/644,104.44 = 133,914.94/x
  3. Step 3: Cross multiply
    429,402.94x = 644,104.44 × 133,914.94
  4. Step 4: Simplify right side
    429,402.94x = 86,255,205,826.07
  5. Step 5: Solve for x
    x = 86,255,205,826.07/429,402.94
  6. Step 6: Final answer
    x = 200,872.42

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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.