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Finding the Fourth Proportional to 429,782.30, 643,787.49 and 251,749.57

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Solution

The fourth proportional to 429,782.30, 643,787.49 and 251,749.57 is: 377,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,782.30 : 643,787.49 = 251,749.57 : x
  2. Step 2: Convert to fraction form
    429,782.30/643,787.49 = 251,749.57/x
  3. Step 3: Cross multiply
    429,782.30x = 643,787.49 × 251,749.57
  4. Step 4: Simplify right side
    429,782.30x = 162,073,223,778.88
  5. Step 5: Solve for x
    x = 162,073,223,778.88/429,782.30
  6. Step 6: Final answer
    x = 377,105.39

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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.